Find the Distance, in Kilometer, Between P and Q :

A man starts from a place P and reaches the place Q in 7 hours. He travels of 1/4th of the distance at 10 km/hour and remaining distance at 12 km/hour. The distance, in kilometer, between P and Q is

  1. 80
  2. 72
  3. 70
  4. 90
Anurag Mishra Professor Asked on 26th October 2015 in Maths.
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1 Answer(s)

Answer is (1): 80

Explanation:-
Let the total distance be X km
Total time taken by a man = 7 hours

According to the question,
(X/4)/10 + (3 X/4)/12 = 7
X/40 + 3 X/48 =7
(48 X + 120 X)/1920 = 7
 168 X = 7 x 1920
 X = 7 x 1920/168
X = 1920/24
X = 28 km

Then, the distance between P and Q is 28 km.

Hence, the answer is (1) 80.

Monis Rasool Professor Answered on 28th October 2015.
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