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. An…

Quantitative Aptitude ·Previously asked in JKSSB Sub Inspector (Executive) 2017

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Question

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?

  1. A. 10 a.m. (Correct answer)
  2. B. 10:30 a.m.
  3. C. 11 a.m.
  4. D. 11:30 a.m.

Correct Answer

Option A — 10 a.m.

Detailed Solution & Explanation

The correct answer is 10 a.m..

Key Points

  • At 8 am, Train P (from P, speed 20 km/h) has traveled 20 km.
  • Remaining distance = 110 − 20 = 90 km.
  • From 8 am, relative speed = 20 + 25 = 45 km/h. Time to meet = 90 ÷ 45 = 2 hours after 8 am = 10 a.m. Meeting point: 2 hours × 25 km/h = 50 km from Q.

Topics covered: JKPSI JKSSB 2017 Quantitative Aptitude Speed Distance Time Trains