Question

If a train runs at 40 kmph it reaches its destination late by 11 minutes. But if it runs at 50 kmph it is late by 5 minutes only. Find the distance to be covered by the train.​

Answer 1

Answer:

Time delay when speed is 40 kmph = 11 minutes. Time delay when speed is 50 kmph = 5 minutes. = 6 minutes.

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

Answer

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.

=

hours.

We know that, speed =

∴ Time =

According to the given condition,

⇒

(LCM of 40 and 50 is 200)

⇒

(Multiplying by 200 on both sides)

⇒ x = 20

∴ The distance to be covered by the train is 20 km.