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 ?

• A. 212.9 km
• B. 320 km
• C. 196.5 km
• D. 429.2 km

Answer 1

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