Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
10.30 am
Incorrect AnswerExplanation:
Assume both trains meet x hours after 7 a.m.
Distance covered by train starting from P in x hours =20x km
Distance covered by train starting from Q in (x−1) hours =25(x−1) km
Total distance =110 km
⇒20x+25(x−1)=110⇒45x=135⇒x=3
Hence, they meet 3 hours after 7 a.m.
i.e., they meet at 10 a.m.
Hence, option 2 is the correct answer.
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By: Amit Kumar