Question

Tow stations A and B are 110 km apart in a straight line. One train starts from A at 7 a.m. and traveled towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

• A. 9 a.m.
• B. 10 a.m.
• C. 11 a.m.
• D. 10.30 a.m

Answer 1

The correct option is B 10 a.m.

$\text{Suppose they meet}x\text{hours after 7 a.m.}\text{Distance covered by A in}x\text{hours}=20xkm\text{Distance covered y B in (x-1) hours}=25(x-1)km\therefore 20x+25(x-1)=110or45x=135orx=3.\text{So, they meet at 10~a.m.}$