Two 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?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 11:30 Α.Μ.
Distance = 181 km
A starts at 8:30 AM, speed = 30 km/h
B starts at 8:54 AM, speed = 35 km/h
A covers 12 km before B starts
Remaining distance = 169 km
Relative speed = 65 km/h
Time = 169 ÷ 65 = 2.6 hr = 2 hr 36 min
Meeting time = 8:54 AM + 2 hr 36 min = 11:30 AM