Question

Two places r and s are 800 km apart from each other. two persons start from r towards s at an interval of 2 hours. whereas a leaves r for s before
b. the speeds of a and b are 40 kmph and 60 kmph respectively. b overtakes a at m, which is on the way from r to s. what is the extra time taken by a to reach at s?

Answer 1

please check answer. thanks

Answer 2

The extra time that taken by A to reach S is 14 hours.

Step-by-step explanation:

Given:

Two places r and s are 800 km apart from each other. two persons start from r towards s at an interval of 2 hours.

Whereas a leaves r for s before b. The speeds of a and b are 40 kmph and 60 kmph respectively.

B overtakes a at m, which is on the way from r to s. what is the extra time taken by a to reach at s

Solution:

Distance between r and s is 800 km

A travels 2 $\times$ 40 = 80 km in  2 hours

B starts and $\frac{80}{60-40}$ = 4 hrs

Distance they meet = 60 $\times$ 4 = 240 km

Distance remaining = 800 – 240 = 560 km

Time taken by A to cover = $\frac{560}{40}$ = 14 hrs

To know more:

A person standing on an escalator takes time t1 to reach the top of a tower when the escalator is moving. He takes time t2 to reach the top of the tower when the escalator is standing. How long will he take if he walks up a moving escalator?

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