Question

a car traveling at 87 km/h and a bus leave a toll booth at the same time. twenty minutes later the bus is 3 km farther from the toll booth than the car. what is the average speed of the bus

Answer 1

96 km/h

Explanation:

Speed of car = 87 km/h

Time = 20 minutes =
`(20)/(60) = (1)/(3)\ hrs`

Distance traveled by bus = 3 km more than that of traveled by car

To find

Average speed of bus = ?

Solution:

Formula for distance traveled is given as:

`Distance = Speed * Time`

So, distance traveled by car in 20 minutes = 87
`* \frac{1}3` = 29 km

As per given statement, distance traveled by bus = 29 + 3 = 32 km

Time taken =
`(1)/(3)\ hrs`

Using the formula:

`Speed = (Distance)/(Time)`

Speed of the bus =

`\frac{32}{\frac{1}3} = \bold{96\ km/h}`