A bus service is planned between City X and City Y. A bus departs from both cities daily at 7a.m., and the travel time for one side of the journey is 30 hours. Assuming buses run every day without fail from both ends, what is the minimum number of buses required to ensure uninterrupted daily service?

(a) 4

(b) 5

(c) 2

(d) 3

Question

A bus service is planned between City X and City Y. A bus departs from both cities daily at 7a.m., and the travel time for one side of the journey is 30 hours. Assuming buses run every day without fail from both ends, what is the minimum number of buses required to ensure uninterrupted daily service?

(a) 4

(b) 5

(c) 2

(d) 3

ONLiNE UPSC · Accepted Answer

Journey time = 30 hours

One bus departs daily &rarr; one bus every 24 hours

Number of buses en route from each direction = &lceil;30/24&rceil; = 2 

Total buses needed = 2 (from X) + 2 (from Y) = 4 buses

Hence option a is correct.

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