Question #b351a

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Question #b351a

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Answer 1 · 2017-09-20T10:10:03

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
$t = \frac{d}{v}$ $t=d/v$ , where $t$ $t$ is the time, $d$ $d$ is the distance and $v$ $v$ is the velocity, or speed. By looking at this, it can be realized that you can rearrange the formula to work out distance

$d = t v$ $d=tv$ , and speed
$v = \frac{d}{t}$ $v=d/t$ .

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
$t = \frac{100}{60}$ $t=100/60$ , $t = \frac{120}{75}$ $t=120/75$
$t = \frac{5}{3}$ $t=5/3$ , $t = \frac{8}{5}$ $t=8/5$
$t = 1 \frac{2}{3}$ $t=1 2/3$ , $t = 1.6$ $t=1.6$

Since the units were in miles per hour, we can see that Car 1 wil take 1 and $\frac{2}{3}$ $2/3$ 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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Question #b351a

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