Question

Comprehension

Direction: Study the direction and answer the following questions.

Train Shatabadi Express of length 180 meters can cross a tree in 12 seconds. Another train August express of length 240 meters crosses the tree at the same time as the train Shatabadi. Both the trains entered a bridge of length 270 meters at the same time moving in opposite directions.

Find out the train which will cross the bridge first and when it crosses the bridge completely then what will be the distance that the other train needs to covers to cross the bridge?

1. Shatabadi, 50 m
2. August, 53 m
3. August, 67.5 m
4. Shatabadi, 67.5 m
5. August, 52 m

Answer 1

Correct Answer - Option 3 : August, 67.5 m

Given:

Length of train Shatabadi express = 180 m

Length of train August express = 240 m

Time Shatabadi express takes to cross a tree = 12 sec

Time August express takes to cross a tree = 12 sec

Length of the Bridge = 270 m

Calculation:

Speed of Shatabadi express = 180/12 = 15 m/sec

Speed of August express = 240/12 = 20 m/sec

⇒ Time Shatabadi express takes to cross the bridge = (270 + 180)/15 = 30 sec

⇒ Time August express takes to cross the bridge = (240 + 270)/20 = 25.5 sec

Thus August express will cross the bridge first

The distance that Shatabadi need to cover

Distance covered by train Shatabadi in 25.5 sec = 25.5 × 15 = 382.5

Total distance = 270 + 180 = 450

⇒ Required distance = 450 – 382.5 = 67.5

∴ The distance Shatabadi express will cover after August express passed the bridge is 67.5 m.