A chartered bus carrying office employees travels everyday in two shifts

A chartered bus carrying office employees travels everyday in two shifts - morning and evening. In the evening, the bus travels at an average speed which is 50% greater than the morning average speed; but takes 50% more time than the amount of time it takes in the morning. The average speed of the chartered bus for the entire journey is greater/less than its average speed in the morning by

  1. 18% less
  2. 30% greater
  3. 37.5% greater
  4. 50% less

Solution

Let the average speed of bus travels in morning be v and it takes t time.

Distance traveled in the morning = vt

In the evening, average speed = 1.5v and time = 1.5t

Distance traveled in the evening = 1.5v × 1.5t = 2.25vt

Average Speed = Total distance / Total time

= 3.25/2.5 = 1.3v

The average speed of the chartered bus for the entire journey is greater than its average speed in the morning by 30%.

The correct option is B.