It takes 17 seconds for a train to pass a 206-meter long bridge at normal speed. It takes 45 seconds for the same train to pass 170-meter long bridge at one-third of the normal speed. What is the length of the train in meters?

Answers

Answer 1

Answer:hello

Step-by-step explanation:sync bien

Answer 2

Variables:

- L = length of the train in meters
- v = speed of the train in meters per second (normal speed)
- t1 = time taken by the train to pass the 206-meter long bridge at normal speed
- t2 = time taken by the train to pass the 170-meter long bridge at one-third of the normal speed

From the problem statement, we have two equations involving these variables:

Equation 1: L + 206 = v * t1

Equation 2: L + 170 = (1/3)*v * t2

We can solve this system of equations for L by eliminating v. To do this, we can rearrange Equation 1 to solve for v:

v = (L + 206) / t1

Then, we can substitute this expression for v into Equation 2:

L + 170 = (1/3)*[(L + 206) / t1] * t2

Multiplying both sides by 3*t1 and simplifying, we get:

3*L*t1 + 3*170*t1 = (L + 206)*t2

Expanding the right-hand side and simplifying, we get:

3*L*t1 + 510 = L*t2 + 206*t2

Now, we can solve for L by rearranging terms and simplifying:

L = (206*t2 - 3*170*t1) / (3*t1 - t2)

Substituting the given values, we get:

L = (206*45 - 3*170*17) / (3*17 - 45) = 510

The length of the train is 510 meters.

Related Questions

Adrian is throwing a ball into a pail. With 50 attempts, the ball goes into the pail and stays 8 times, goes into the pail and bounces out 6 times, and misses the pail 36 times. If Adrian throws the ball again, what is the probability of each outcome?
Probability the ball goes into the pail and stays =
Probability the ball goes into the pail and bounces out =
Probability the ball misses the pail =

Answers

The probability the ball goes into the pail and stays in is 16%

The probability the ball goes in to the pail and bounces out is 12%

The probability the ball misses the pail is 72%

STEPS:
Divide each number by 50.
36 divided by 50: 0.72
6 divided by 50: 0.12
8 divided by 50: 0.16

Remove the 0’s from the numbers
0.72 -> 72
0.12 -> 12
0.16 -> 16

We want to make sure that all these numbers equal 100 because 100% is 50 in this equation.
12 + 16 + 72 = 100
Because those numbers equal 100, 50 is equal to 100%

Hope this helps!

Answer:

The approximate probability that the ball goes into the pail and stays is 8/50 or 4/25.The approximate probability that the ball goes into the pail and bounces out is 6/50 or 3/25. The approximate probability that the ball misses the pail is 36/50 or 18/25.

Step-by-step explanation:

Experimental probability is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed. It is based on the results of an experiment or a simulation. For example, if you toss a coin 10 times and get 7 heads and 3 tails, the experimental probability of getting heads is 7/10 = 0.7. This may not match the theoretical probability of getting heads, which is 1/2 = 0.5, because of random variation or error. The more trials you perform, the closer the experimental probability will get to the theoretical probability.

To find the probability of each outcome, we need to divide the number of times the outcome occurred by the total number of trials. Using the given data, we can calculate the probabilities as follows:

The probability the ball goes into the pail and stays = 8/50 = 0.16 The probability the ball goes into the pail and bounces out = 6/50 = 0.12 The probability the ball misses the pail = 36/50 = 0.72

We can check that these probabilities add up to 1, which means they are valid.

Sheryl is making biscuits for breakfast. She has 4 2/3 cups of flour left. if she uses 1/4 cup of flour to make each biscuit, how many biscuits can she make?

Answers

Answer:

4 5/12

Step-by-step explanation:

Rewriting our equation with parts separated=4+23−14=4+23−14Solving the fraction parts23−14=?23−14=?Find the LCD of 2/3 and 1/4 and rewrite to solve with the equivalent fractions.LCD = 12812−312=512812−312=512Combining the whole and fraction parts4+512=45124+512=4512Solution by FormulasFirst: Convert any mixed numbers to fractions. Then your initial equation becomes:143−14143−14Applying the fractions formula for subtraction,=(14×4)−(1×3)3×4=(14×4)−(1×3)3×4=56−312=56−312

Simplifying 53/12, the answer is=4 5/ 12

the answer is 4 5/12

Help pls. Also wdym this is to short yk why so long >:/

Answers

Answer:

Y= mx + b

so Y = 1/3x + 2

just substitute

Due to the answer requesting slope intercept form, one shall use the points (3,2) in order to substitute for b. Slope intercept form is formatted in y = mx + b, which m would be your slope, which in this particular problem was given; therefore, y = 1/3x +b.

Now, we shall use points (3,2) as the substitutes for the solution for b, which 3 would be the input and 2 would be y.

Therefore, 2 = 1/3(3) + b
2 = 1 + b, therefore, one would be subtracted from 2 which would give us the answer of b equaling to one. Thus, y = 1/3x + 1

A class made A-line plot to show the legs of students pencils. Which of the following is the most common pencil length for the class select all that apply?

Answers

Answer:

The most common length of the pencil is 9cm as it is repeated most of the times.

Step-by-step explanation:

1) Number of pencils that are 9cm long = 5

2) Number of pencils that are 10cm long = 2

3) Number of pencils that are 11cm long = 1

4) Number of pencils that are 12cm long = 3

5) Number of pencils that are 13cm long = 2

6) Number of pencils that are 14cm long = 3

Answer:

The most common length of the pencil is 9cm as it is repeated most of the times.

Step-by-step explanation:

EASY MATH QUESTION, EARN POINTS!

Answers

Answer:

g43 = 79.5

Step-by-step explanation:

geometric sequence = ar^(n-1), where a is first term and r is common ratio.

g23 = ar^(23-1) = ar^22 = 16.

g28 = ar^27 = 24.

now do g28/g23:

(ar^27) / (ar^22) = 24/16,

a^(1-1) r^(27-22) = 24/16,

a^0 r^5 = 24/16,

r^5 = 24/16 = 1.5,

r = (1.5)^1/5 ≈ 1.084.

ar^22 = 16,

a = 16/(r^22) ≈ 2.687.

so g43 = ar^42 ≈ (2.687)(1.084)^42 = 79.5

g43=79.5 I’m pretty sure

Consider the functions below -

Answers

Answer:

y-intercept

Step-by-step explanation:

In all cases, when x = 0, f(0) = a or b or c.

Answer: y-intercept

Please help i’ll give brainliest!

For which set of data are the median and mode the same number?

A. 4, 5, 7, 7, 8, 10
B. 3, 5, 6, 8, 8, 9
C. 5, 5, 6, 8, 9, 10
D. 4, 5, 7, 8, 9, 9

Answers

Answer: A

Step-by-step explanation:

median: 7+7=14

14/2=7✅

mode: 7 shows up the most (twice)

I will have to say as I the first person that is on top of my comment the answer is A

PLS HELP WITH ALL !THREE! I REALLY NEED HELP!

Answers

Answer:

1. 17

2. 20

3. 0

Step-by-step explanation:

The "||" signs around the numbers indicate absolute value.

Absolute value is how far a number is from 0. Ex. The absolute value of -7 would be 7, because -7 is 7 numbers away from 0.

So in these problems, we are taking the absolute values of each number. We will also be using PEMDAS because there are multiple operations in each problem.

P - parenthesis

E - exponent

M - multiplication

D - division

A - addition

S - subtraction

--------------------------------

[tex]2*|12|-|-7|[/tex]

⇩

[tex]2*12-7[/tex]

[tex]24 - 7[/tex]

[tex]=17[/tex]

--------------------------------

[tex]|-108| / |36|+|17|[/tex]

⇩

[tex]108/36+17[/tex]

[tex]3+17\\=20[/tex]

--------------------------------

[tex]|-5|*|12|-|5|*|-12|[/tex]

⇩

[tex]5*12-5*12[/tex]

[tex]60-60\\=0[/tex]

Answer: hope this helps ♡

2 × | 12 | - | -7 | = 17

| -108 | ÷ | 36 | + | 17 | = 20

| -5 | × | 12 | - | 5 | × | -12 | = 0

Step-by-step explanation:

(a negative number will become positive if it's in these brackets: |-12|= 12)

2 × | 12 | - | -7 | =

2 × 12 - 7 = (-7 becomes positive seven, +7)

24 - 7 = 17

| -108 | ÷ | 36 | + | 17 | =

108 ÷ 36 + 17 = (-108 becomes positive one hundred and eight, +108)

3 + 17 = 20

| -5 | × | 12 | - | 5 | × | -12 | =

5 × 12 - 5 × 12 = (-5 and -12 become positive five and twelve, +5 and +12)

60 - 60 = 0

(Being Timed) Which of the following relations is NOT a function?

Answers

it’s B because the X has two 2 no input can have the same output

B because u can have the same number on x only y

LOOK AT THE PICS AND HELP PLEASE

Answers

Its pretty simple but u have to use the number line to get the decimals from so the answer is 56

The answer is 56.
Uu have to use process of elimination.

Identify all of the quadratic functions -

Answers

Step-by-step explanation:

Quadratic function form : (degree function 2)

y = ax² + bx + cy = a(x - xp)² + ypy = (x - a)²

So, in this answer of exercise is :

y = (x - 2)² + 4y = ¼x² + 6x - 1

Subject : Mathematics

Level : JHS

Chapter : Quadratic Functions

solve for t

7t–8=10+2t

Answers

Answer:

t=18/5

Step-by-step explanation:

7t-8=10+2t

+8 on both sides

7t-8+8=10+2t+8

combine like terms

7t=18+2t

-2t on both sides

7t-2t=18t+2t-2t

combine like terms

5t=18

divide by 5

5t/5=18/5

t=18/5

Add 8 to both sides:

7t=18+2t

Subtract 2t from both sides:

5t=18

Divide both sides by 5:

t=18/5

t=3.6

What is the value of 32 – 101 – (-38)? What is the value of (-63) + 32 – (-119)?

Answers

32 – 101 – (-38) = 32 – 101 + 38 = -31

(-63) + 32 – (-119) = -63 + 32 + 119 = 88

1) 32 - 101 - (-38) = -312) (-63) + 32 - (-119) = 88

Please help me! Also, please don't complicate the answer with some high school formula or something! :)

Answers

Answer: no because u shoent take a risk like that i wouent

Step-by-step explanation:

no, because he already lost once and the probability of him losing again is the same as before.

Identify all of the quadratic functions

Answers

Answer:

y=15000(1.03)^x

y=(1/4)x^2+6x-1

y=(x-2)^2+4

y=3*0.25^x

Step-by-step explanation:

Anything with an exponent.

Other Questions

another common name for a web beacon is a ____________, which tracks user activities. use spherical coordinates to evaluate zdv, where e is the solid that lies above the cone theta = pi/3 and below the sphere x^2 y^2 z^2 =4z which of the following characteristics is not influenced by genes with multiple alleles? the cash budget should be broken down into time periods that are as long as feasible. group startstrue or false Calculate the de Broglie wavelength for a proton moving with a speed of 7 x 10^6 m/s. The mass of a proton is 1.67262 x 10^-27 kg and Planck's constant is 6.62607 10^-34 Js. the result of (3.8621 1.5630) 5.98 is properly written as which total dollar amount would an an insurance plan pay toward the cost of dental care over a specific period? Los resultados de la investigacin cuantitativa deben serconsistentes al ser reproducidos si se aplica la mismametodologa, con esto entendemos que son c++ Given two integers as user inputs that represent the number of drinks to buy and the number of bottles to restock, create a VendingMachine object that performs the following operations: Purchases input number of drinks Restocks input number of bottles Reports inventory Review the definition of "VendingMachine.cpp" by clicking on the orange arrow. A VendingMachine's initial inventory is 20 drinks. Ex: If the input is: 5 2 the output is: Inventory: 17 bottles#include #include "VendingMachine.h"using namespace std;class VendingMachine {public:int initial = 20;};int main() {VendingMachine myMachine;int purchase, restock;coutpurchase;coutrestock;myMachine.initial-=(purchase-restock);cout put the following in the correct order. - ligase - helicase - gyrase - primase - dna polymerase The area of parallelogram is 36 square meters. If the height is 4 meters, what is the length of the base Which of the following is a common way for hazardous chemicals to enter the body?a. injectionb. ingestionc. inhalationd. absorption (e.g. through skin or eyes)e. all of the above a straddle requires purchasing one call and one put on the same asset with the same strike price. for this data the payoff for a straddle isa.52b.-51c.50d.-57e.-55 When importing data records from MS Excel, which of the following is FALSE? a) You can use the Append button b) The column widths and row heights in the Excel table must match the Access table defaults c) The formats should match d) The first row of the Excel file must contain the field names from the Access table the terminology of defender is the proposed new equipment, and challenger is the current equipment in place. True or False the cooperative breeding system of primates such as marmosets and tamarins can be explained by the basic source of the physician distribution problem in the united states is: Martha consumes two goods: pizza and bottled water. If Martha increased her consumption of both goods when her income increased, both Pepsi and bottled water A must be perfect complements, must be goods on which she does not have to pay sales tax. B must both exhibit the property of diminishing marginal utility . D. must be normal goods. identify the degree of the polynomial 8x3y2 10xy + 4x2y2 + 3. allene is trying to put a new battery in remote control. the screws are flat heads and unfortunately the only items available to allene are some change and a knife. allene is unable to change the batteries for lack of a flat head screwdriver. the inability for allene to see the coins or knife as a substitute for the screwdriver best illustrates: