Question

A bus and a car both drive 145 miles from town A to town B. The bus drives 8 miles per hour faster than the car. If it takes the car 2 hours and 54 minutes to arrive, how long does it take for the bus to arrive?

Answer 1

Answer: 2.5 hours

Explanation:

Given

Distance between A to B town is
`d=145\ miles`

Bus speed is 9 miles per hour faster than car

time taken by car is 2 hours and 54 minutes i.e.

`t=2+(54)/(60)=2+0.9=2.9\ hr`

Speed of car is v

`\Rightarrow v=(d)/(t)=(145)/(2.9)=50\ mph`

Speed of bus is
`v+8=50+8=58\ mph`

time taken by bus is t'

`\Rightarrow t'=(d)/(v+8)=(145)/(58)=2.5\ hr\\\\\\\Rightarrow t'=2\ hr\ \text{and}\ 30\ \text{minutes}`