Question

Question #b351a

Answer 1

The car going 75mph

Explanation:

To work out the time an object takes to travel a distance going at a constant speed, the formula used is
`t=d/v`, where `t` is the time, `d` is the distance and `v` is the velocity, or speed. By looking at this, it can be realized that you can rearrange the formula to work out distance

`d=tv`, and speed
`v=d/t`.

Currently we have the distance and speed of both cars, but not the time. By plugging the numbers for Car 1 and Car 2 respectively into the formula, we get
`t=100/60`, `t=120/75`
`t=5/3`, `t=8/5`
`t=1 2/3`, `t=1.6`

Since the units were in miles per hour, we can see that Car 1 wil take 1 and `2/3` hours, or 1 hour and 40 minutes, while Car 2 will take 1.6 hours, or 1 hour and 36 minutes. Therefor, Car 2 will reach its destination first.

I hope I helped!