Question

A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours. A)Express the total distance traveled in terms of x

Answer 1

`12.5x-285`.

Step-by-step explanation:

We are told that a man drove x miles per hour for 3 hours, so he traveled 3x miles in three hours.

We are also told that he drove (2x-60) miles per hour for the next 4.75 hours. So The distance traveled by in next 4.75 hours will be:

`4.75\cdot (2x-60)=9.5x-285`

To find the total distance traveled by man we will add distances traveled by him in first 3 hours and next 4.75 hours.

`\text{The total distance traveled}=3x+9.5x-285`

Upon combining like terms we will get,

`\text{The total distance traveled}=(3+9.5)x-285`

`\text{The total distance traveled}=12.5x-285`

Therefore, the total distance traveled in terms of x will be
`12.5x-285`.