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 ?
A
212.9 km
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B
320 km
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C
196.5 km
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D
429.2 km
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Solution
The correct option is D429.2 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