A person goes from P to Q in 8 hours. He starts from Pat 8 a.m. Another person goes from Q to P in 12 hours. He starts from Q at 9 a.m. At what time will they meet?
Answer & explanation
Correct answer: option 1
Time required by 1st person to cover distance b/w = 8 hours
Time required by 2nd person to cover distance b/w = 12 hours
We know ,
Speed is inversely proportional to time .
Ratio 1st : 2nd
Time 8 : 12
Speed 12 : 8
Let distance b/w P & Q = 96 km
Distance covered by 1 st person till 9:00 am = 12 × 1 = 12 km
Remaining distance = 96 - 12 = 84km
Relative speed = 12 + 8 = 20 km/h
(when moves in opposite direction )
Time = \(\frac{Distance}{Speed }\)
= \(\frac{84}{20}\) = 4 hours 12 minutes
So , Both of them will meet at = 9:00 am + 4 hours 12 minutes = 1:12 pm