Car and Walking Journey Problem
XAT 2013 · Quantitative Ability & Data Interpretation · Hard · Speed Time Distance
Ram, Shyam and Hari went out for a 100 km journey. Ram and Hari started the journey in Ram's car at the rate of 25 kmph, while Shyam walked at 5 kmph. After sometime, Hari got off and started walking at the rate of 5kmph and Ram went back to pick up Shyam. All three reached the destination simultaneously. The number of hours required for the trip was:
- A.
8
- B.
7
- C.
6
- D.
5
- E.
4
A
Explanation
Let Ram drive Hari to point C (distance ), drop Hari, and drive back to pick Shyam at B while Hari walks from C to D. By symmetry, distance Shyam walks = distance Hari walks = . Distance Ram travels by car = ... Solving equations yields km. Hari walks 15 km at 5 km/h (3 hrs) and rides 85 km at 25 km/h (3.4 hrs) ... total time = 8 hours.
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