Question

Question #24009

Answer 1

38.51 mi/h

Explanation:

Average velocity of the car is the ratio of total distance traveled by the car to the velocity of the car.

`v=S/T`

where,

v is the velocity (average) of the car ,

S is the total distance traveled by the car ,

T is the total time taken .

Total distance traveled S= `13.6+23.8+43.1=80.5`miles

Time taken to cross first 13.6 miles:

`S_1=13.6`mi

`v_1=55`mi/h

`S=v*t`
`t_1=S_1/v_1`

`t_1=13.6/55`

`t_1=0.247` h

Similarly `t_2=S_2/v_2`

`t_2=25.8/48`

`t_2=0.537` h

`t_3=S_3/v_3`

`t_3=43.1/33`

`t_3=1.306` h

Therefore total time taken `T=t_1+t_2+t_3`

`T=0.247+0.537+1.306`

`T=2.09` h

Hence from this data we can find average velocity .

`v=S/T`

`v=80.5/2.09`

`color(red)("AVERAGE VELOCITY ")`

`v=38.51`mi/h