Question
Download Solution PDFTwo cities P and Q are 181 km apart on a straight road. One man starts from P at 8:30 A.M. and travels toward Q at 30 km/h. If another man starts from Q at 8:54 A.M. and travels towards P at a speed of 35 km/h, then at what time will they meet?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance between cities P and Q = 181 km
Speed of P = 30 km/h
Speed of Q = 35 km/h
Formula used:
Distance = relative speed × time
Calculation:
Distance covered by P in 24 minutes = (30 × 24)/60 = 12 km
Remaining distance between P and Q = 181 - 12 = 169 km
Distance = relative speed × time
⇒ 169 = (35 + 30) × time
⇒ Time = 169/65
⇒ Time = 13/5 = 2 hours 36 minutes
Required time = 8 hours 54 minute + 2 hours 36 minutes
⇒ 11 hours 30 minutes
∴ The correct answer is 11:30 A.M.
Last updated on May 28, 2025
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