If a train runs at 40 km/ hr it reaches its destination late by 11 minutes. But if it runs at 50 km/ hr it is kate 5 minutes only. find the distance to be covered by the train?
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Let the distance covered by the train be x km.
Time delay when speed is 40 kmph = 11 minutes.
Time delay when speed is 50 kmph = 5 minutes.
The difference in time for different speeds = 11 – 5
= 6 minutes.
=6/60=1/10
hours.
We know that, speed =distance/Time
∴ Time =distance/speed
According to the given condition,
⇒x/40-x/50=1/10
(LCM of 40 and 50 is 200)
x/200=1/10
⇒x/200×200=1/10×200
(Multiplying by 200 on both sides)
⇒ x = 20
∴ The distance to be covered by the train is 20 km.
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