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A bus travels one-third of the distance ...

A bus travels one-third of the distance with a speed of 12 km `h^(-1)` and the remaining distance with a speed of 20 km `h^(-1)`. The average speed of the bus is nearly_______ km `h^(-1)`.

A

14

B

20

C

12

D

16

Text Solution

Verified by Experts

The correct Answer is:
D
`t_(1)=(1//3d)/(12)" " t_(1)=(d)/(36)s`
`t_(2)=(2//3d)/(20), t_(2)=(d)/(30)s`
Total time, `t=t_(1)+t_(2) =(d)/(36)+(d)/(30) =d((1)/(36) +(1)/(30))`
`=d((5+6)/(180)) =d((11)/(180))s`
Average speed `=("Total distance")/("Total time")=(d)/((11d)/(180))`
`=(180)/(11)=16.4kmh^(-1)`
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