what is the shortest possible time in which all three can reach Mathura at the same time.

Question

Mukesh, Suresh and Dinesh travel from Delhi to Mathura to attend Janmasthmi Utsav. They have a
bike which can carry only two riders at a time as per traffic rules. Bike can be driven only by
Mukesh. Mathura is 300km from Delhi. All of them can walk at 15Km/hr. All of them start their
journey from Delhi simultaneously and are required to reach Mathura at the same time. If the speed
of bike 60Km/hr then what is the shortest possible time in which all three can reach Mathura at the
same time.

Answer 1

RESULT: 65/7 hr

Solution:

Mukesh starts from Delhi (say A).
He has to take of the other two (say Dinesh) on his bike, take him up to a certain point(say C) drop him there and return for Suresh.

Meanwhile Suresh starts walking.
Suresh and Mukesh meet at (say B) Mukesh picks up Suresh at B and turn towards Mathura.
All of them arrive together at Mathura (say D).

A------------ B ------------- C ------------- D

As, M drives at 60km/h and S (as well as D) walk at 15 km/h.

Comments

Dear Mohammed ,  Your answer is right , you expalined the question and approach  but  can you please explain the  method more clearly  for getting the answer ...