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

Step-by-step 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.

$t=2+\dfrac{54}{60}=2+0.9=2.9\ hr$

Speed of car is v

$\Rightarrow v=\dfrac{d}{t}=\dfrac{145}{2.9}=50\ mph$

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

time taken by bus is t'

$\Rightarrow t'=\dfrac{d}{v+8}=\dfrac{145}{58}=2.5\ hr\\\\\\\Rightarrow t'=2\ hr\ \text{and}\ 30\ \text{minutes}$