Question

The distance (in miles) traveled when driving at a certain speed s for 24 hours, then driving 17 miles/hour faster for another hour. Express the distance in terms of s

Answer 1

The total distance in terms of 's' will be : (25s+17) miles

Step-by-step explanation

We know that,
`Distance= Speed* Time`

So, the distance traveled at a speed of
`s` miles/hour for 24 hours will be:
`d_(1)= (s*24)miles = 24s` miles.

Now, the speed is 17 miles/hour faster for another hour. So the speed for this another hour is
`(s+17)miles/hour`

So, the distance traveled in this another hour
`=[(s+17)*1]miles = (s+17) miles`

Thus, the total distance
`=[24s+(s+17)] miles = (25s+17) miles`