Knowee
Questions
Features
Study Tools

Train A covers 200 km in 30 minutes less time than train B. Train B travels 20km/h slower than train A.An equation which could be used to solve for b,  the speed of train B, is:                                    Responses

Question

Train A covers 200 km in 30 minutes less time than train B. Train B travels 20km/h slower than train A.An equation which could be used to solve for b,  the speed of train B, is:                                    Responses

🧐 Not the exact question you are looking for?Go ask a question

Solution

The first step is to understand the problem. We know that speed is equal to distance divided by time. We also know that Train A travels 200 km in 30 minutes less time than Train B.

Let's denote:

  • the speed of Train A as a (km/h)
  • the speed of Train B as b (km/h)
  • the time Train A takes as t1 (hours)
  • the time Train B takes as t2 (hours)

From the problem, we know that:

  1. a = b + 20 (since Train A travels 20km/h faster than Train B)
  2. t1 = t2 - 0.5 (since Train A takes 30 minutes, or 0.5 hours, less than Train B)

We can express the time each train takes to cover the 200 km in terms of their speeds:

  1. t1 = 200/a
  2. t2 = 200/b

Substituting the expressions for t1 and t2 from the speed equations into the time equations gives us:

  1. 200/a = 200/b - 0.5
  2. 200/b = 200/a + 0.5

We can rearrange the first equation to solve for b: 200/b = 200/a + 0.5 b = 200 / (200/a + 0.5)

Substituting a = b + 20 into this equation gives us the final equation to solve for b: b = 200 / (200/(b + 20) + 0.5)

This problem has been solved

Similar Questions

rain A covers 200 km in 30 minutes less time than train B. Train B travels 20km/h slower than train A.An equation which could be used to solve for b,  the speed of train B, is:                                    Responses

Two trains travel between two stations 80 km apart. If train A travels at an averagespeed of 5 km/h faster than train B and completes the journey 20 minutes faster, find theaverage speeds of the two trains, giving your answers correct to two decimal places.

Two trains depart simultaneously from different stations and travel towards each other at 20 km/hr and 25 km/hr speeds, respectively. Upon meeting, it becomes apparent that one train has covered a distance 80 kilometres longer than the other. Determine the total distance between the two stations.

A man travels 240 km partly by a train and partly by a car. If he covers 160 km by the train and rest by the car, it will take 3 hours 30 minutes. But if he travels 100 km by the train and the rest by the car. It will take 20 minutes more. What is the speed of the train(approximately)?

RECTIONS for question 6: Type in your answer in the input box provided below the question.Two trains, of lengths 500 m and 300 m respectively, run on parallel tracks. When the trains run in the same direction, the faster train takes 80 seconds to cross the slower train. When they run in opposite directions, they take 20 seconds to cross each other. Find the speed (in km/hr) of the slower train.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.