Question

A bus travel's at an average speed of 65.1 miles in 3 hours in the city. how far could the bus travel in 8.2 hours?

Answer 1

177.94miles

Explanations:

From the question, distance is directly proportional to the time taken. Mathematically;

`\begin{gathered} d\alpha t \\ d=kt \\ k=(d)/(t) \end{gathered}`

where:

d is the distance traveled

t is the time

If the bus travel's at an average speed of 65.1 miles in 3 hours in the city, the variation constant "k" is calculated as;

`\begin{gathered} k=\frac{65.1\text{miles}}{3\text{hours}} \\ k=(21.7mi)/(hr) \end{gathered}`

In order to determine how far could the bus travel in 8.2 hours

`\begin{gathered} d=kt \\ d=\frac{21.7miles}{\cancel{hr}}*8.2\cancel{\text{hrs}} \\ d=177.94\text{miles} \end{gathered}`

Therefore the bus can travel for 177.94miles in 8.2hours