Indian Institute of Foreign Trade 2015 Solved Paper

Question : 13 of 124

Marks: +1, -0

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

Validate

Solution:

(b) Let Morning speed = 10 kmph
∴ Evening speed = 15 kmph
and morning time = 1 hour
Evening time = 1.5 hour
∴Distance in the morning = 10 × 1 = 10 km
Distance in the evening = 15 × 1.5 = 22.5 km
Average speed =

{\Total \distance}/{\Total \time}

For entire journey =

{10 + 22.51 }/ {1+1.5} =

32.5/2.5 = 13

km ...(1)
Average speed in morning =

10/1

= 10 kmph .....(2)
Clearly average speed is 30% greater.

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