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.
Add Comment
  • 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.
    Add Comment
  • Your Answer

    By posting your answer, you agree to the privacy policy and terms of service.