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.

What will be the time taken by the Shatabadi train to cover a platform of length 0.55 km? If the speed of the Shatabadi train is increased by \(33\frac{1}{3}\% \).

1. 30 sec
2. 31 sec 
3. 32 sec
4. 36.5 sec
5. 37 sec

Answer 1

Correct Answer - Option 4 : 36.5 sec

Given:

Length of train Shatabadi express = 180 m

Time Shatabadi express takes to cross a tree = 12 sec

Length of the platform = 0.55 km

Formula used:

Speed = Distance/Time

Calculation:

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

Increased speed of Shatabadi express = 15 × (4/3) = 20 m/sec

Length of the platform in meters = 0.55 × 1000 = 550 m

Time = (550 + 180)/20 = 730/20 = 36.5 sec

∴ The time taken by the Shatabadi train to cover a platform is 36.5 sec.