General Aptitude › Time and Distance › Question #4673
Single Choice Not Set

QIn 27 seconds and 17 seconds, two trains travelling in opposing directions cross a guy standing on the platform. What is the ratio of their speeds if they cross in 23 seconds?

ID: #4673 Time and Distance 190 views
Question Info
#4673Q ID
Not SetDifficulty
Time and DistanceTopic
Start Quiz on This Topic
 Your Answer

Choose the Best Option

Click any option to instantly check if you're correct.

  • A 3 : 2 ✔ ✖
  • B 5 : 2 ✔ ✖
  • C 3 : 8 ✔ ✖
  • D 3 : 7 ✔ ✖
Correct Answer

Explanation


The speed of the first train is given as x and the speed of the second train is given as y.

The length of the first train is given as 27x and the length of the second train is given as 17y.

The relative speed of the two trains is given as x + y.

The time taken for the two trains to cross each other is given as 23 seconds.

We can use the lengths of the trains, the relative speed, and the time taken for the trains to cross each other to find the speed ratio between the two trains. Since the time taken for the trains to cross each other is 23 seconds and the relative speed is x + y, we can set up the following equation: (27x + 17y)/(x + y) = 23.

Solving for x, we get x = (6y)/4.

The speed ratio between the two trains is given by the ratio of their speeds, which is x/y. Plugging in the value of x that we found in step 6, we get x/y = (6y)/(4y) = 3/2.

Therefore, the speed ratio between the two trains is 3/2.
 Continue Practice
Previous Question Next Question
 Share

Share This Question

Challenge a friend or share with your study group.

 More from This Topic

Related MCQ Questions

An aeroplane flying 1000 kilometres covers the first 200 kilometres at 200 kilometres per hour, the second 200 kilometres at 400 kilometres per hour, the third 200 kilometres at 600 kilometres per hour, and the... Giri jogs 3 kilometres every Sunday. For the rest of the week, he jogs 1 mile more than the day before. Giri jogs how many kilometres in two weeks?... A guy traverses the first 150 kilometres of his journey at 80 kilometres per hour. Due to the inclement weather, he drives the remaining 150 kilometres at a speed of 60 kilometres per hour. What was his average... A bicycle covers 800 metres in 4 minutes and 20 seconds. What is the cyclist's speed in kilometres per hour?... A running track has a perimeter of 735 metres. Peter and Tom begin walking in separate directions from the same place. How long will it take them to meet if they are walking at 6 km/hr and 8 km/hr, respectively... A bicycle travelling at 20 km/hr crosses a bridge in 2 minutes. What is the bridge's length?... A automobile travelling at 69% of its maximum speed travels 50 kilometres in 1 hour 40 minutes. What is the car's true speed?... ... Two trains travelling at 40 kmph and 22 kmph in the same direction pass each other in one minute. What is the length of the second train if the first train is 125 m long?... Sagar was riding his bike north, when he turned left on a route 1 km long, and after another 2 kilometres, he found himself 1 km west of where he started. How far north did he travel?...