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
- 18% less
- 30% greater
- 37.5% greater
- 50% less
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.