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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?
Shatabadi, 50 m
August, 53 m
August, 67.5 m
Shatabadi, 67.5 m
August, 52 m
Let’s break it down:
- Shatabadi Express: 180 meters long, crosses a tree in 12 seconds.
Speed = 180/12 = 15 m/s.
- August Express: 240 meters long, also takes 12 seconds to cross a tree.
Speed = 240/12 = 20 m/s.
- Bridge is 270 meters long.
Now, to completely cross the bridge, each train must cover its length + bridge length.
- Shatabadi has to go 180 + 270 = 450 meters.
- August has to go 240 + 270 = 510 meters.
Time to cross the bridge:
- Shatabadi: 450 / 15 = 30 seconds.
- August: 510 / 20 = 25.5 seconds.
So, August finishes first.
Now, when August Express fully crosses (at 25.5 seconds), how much ground does Shatabadi have left?
- Shatabadi in 25.5 seconds: 25.5 × 15 = 382.5 meters.
- Left to go: 450 – 382.5 = 67.5 meters.
So:
Option 3—August, 67.5 m—is correct.
By: Parvesh Mehta ProfileResourcesReport error
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