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Question

A car travels first 13 of the distance AB at 30km/h,next13 of the distance at 40km/h and last 13 of the distance at 24km/h Its average speed in km/h for the whole journey is

A
40
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B
35
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C
30
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D
28
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Solution

The correct option is C 30
Total distance covered by a car is, AB=d=13+13+13=1km
A car travels first 13 of distance AB at speed 30km/h, then
t1=13×30=190hr
Next 13 of AB with speed 40km/h, then
t2=13×40=1120hr
Last 13 with speed 24km/h, then
t3=13×24=172hr
Total time, t=t1+t2+t3
t=190+1120+172=0.0334hr
The average speed of the car,
vavg=TotaldistanceTotaltime
vavg=10.033=30km/h
The correct option is C.

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