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Two trains P and Q are 150 km apart on a straight line. One train starts from P at 9 a.m. and travels towards Q at 40 km per hr. Another train starts from Q at 10 am. and travels towards P at a speed of 35 km per hr. At what time will they meet?


1. 11 a.m.
2. 11: 28 a.m.
3. 10:20 a.m.
4. 10:30 a.m.

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Best answer
Correct Answer - Option 2 : 11: 28 a.m.

Given

Distance is = 150 kms

Train P point 9 AM speed at = 40 km per hr

Train Q another points 10 AM speed at = 35 km per hr

Let they meet x hrs after 9 am.

Distance covered by A in x hours = 40x kms

Distance covered by B in (x - 1) hr. = 35 (x - 1) km

Calculation

 40x + 35 (x-1) = 150

 40x + 35x - 35 = 150

75x = 150 + 35 = 185

x = 185/75

⇒x = 37/15

⇒ x = 2 hour 7/15 minutes {Hence (7/15) × 60 = 28 minuts}

Trains meet at 11: 28 AM

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