Question #b351a

1 Answer
Solace M.
Sep 20, 2017

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!

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