A and B start running simultaneously. A runs from point P to point Q and B from point Q to point P. A's speed is 6/5 of B's speed. After crossing B, if A takes 5/2 hr to reach Q, how much time does B take to reach P after crossing A?

A.

3 hr 6 min

B.

3 hr 16 min

C.

3 hr 26 min

D.

3 hr 36 min

• The speed of A =6/5 of B
  then A/B =6/5 ==> so the speed ratio is A:B =6:5
  so we can assume that A= 60 kmph, B= 50 kmph
  the total distance for P to Q = X
  after crossing B atakes 5/2 hrs to reach Q
  with the speed of 60 kmph A can travel 150km
  (X-150)/60 = 150/50
  X=180+150
  x =330
  B need to travel 180 km after crossing A with speed of 50 kmph
  180/50=3.6 hrs
  =3 hr 36 min
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