Question

Two persons start from A and B, moving towards each other with a speed of 25 kmph and 49 kmph, respectively. After they cross each other, the person starting from B covers 145 km to reach A. What is the distance (in km) covered by A and B ?

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Solution

The correct option is **D** 429.2 km

A------------------145 km-------------M---------------X km-----------------B

Let M be the meeting point. Its take time T to reach at M. total distance = (145 +x )km

Time taken by A = 145/25 hours. [as, speed * time = distance covered]

Time taken by B = x/49 hours

Since, Time taken by A = time taken by B

145/25 hours = 1/49 hours

25x = 7105

x = 284.2 km

So, total distance = 284.2 + 145 = 429.2 km

A------------------145 km-------------M---------------X km-----------------B

Let M be the meeting point. Its take time T to reach at M. total distance = (145 +x )km

Time taken by A = 145/25 hours. [as, speed * time = distance covered]

Time taken by B = x/49 hours

Since, Time taken by A = time taken by B

145/25 hours = 1/49 hours

25x = 7105

x = 284.2 km

So, total distance = 284.2 + 145 = 429.2 km

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