How many seconds will it take for a car that is traveling at a constant rate of 45 miles per...

Question

How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 220 yards? ( 1 mile =1,760 yards)

GMAT Panda · Accepted Answer

10 seconds We first convert the distance from yards into miles using the given conversion factor. 220 yards = 220/1760 miles We simplify the fraction by canceling common factors. 220/1760 = 22012208 = 1/8 We apply the formula that time equals distance divided by speed to find the time in hours. t = 1/8 miles45 mileshour We multiply by the reciprocal of the speed and simplify the units. 1/8 miles45 mileshour = 1/8 1/45 hours = 1/360 hours We convert the time from hours into seconds using the fact that one hour has 3,600 seconds. 1/360 hours = 1/360 3600 seconds = 10 seconds

Explanation	Calculations	Help
$We first convert the distance from yards into miles using the given conversion factor.$	$220 yards = \frac{220}{1760} miles$
$We simplify the fraction by canceling common factors.$	$\frac{220}{1760} = \frac{220 \times 1}{220 \times 8} = \frac{1}{8}$
$We apply the formula that time equals distance divided by speed to find the time in hours.$	$t = \frac{\frac{1}{8} miles}{45 \frac{miles}{hour}}$
$We multiply by the reciprocal of the speed and simplify the units.$	$\frac{\frac{1}{8} miles}{45 \frac{miles}{hour}} = \frac{1}{8} \times \frac{1}{45} hours = \frac{1}{360} hours$
$We convert the time from hours into seconds using the fact that one hour has 3,600 seconds.$	$\frac{1}{360} hours = \frac{1}{360} \times 3600 seconds = 10 seconds$

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