A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this...

Question

A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? ( 1 mile =5,280 feet)

GMAT Panda · Accepted Answer

Approximately 2 minutes, so option B. We apply the distance formula which states that the distance traveled equals the speed multiplied by the time. Distance = Speed Time We convert "20 miles per hour" into feet per minute using the conversion factor "1 mile = 5280 feet" and there are 60 minutes in an hour. 20 5280 60 = 1760 feet/minute We solve for the time in minutes by dividing the bridge length by the speed in feet per minute. t = 4024/1760 We simplify the fraction by canceling the common factor 8. 4024/1760 = 8 5038 220 = 503/220 We approximate the quotient to find the time in minutes. 503/220 2.29 minutes

Explanation	Calculations	Help
$We apply the distance formula which states that the distance traveled equals the speed multiplied by the time.$	$Distance = Speed \times Time$
$We convert "20 miles per hour" into feet per minute using the conversion factor "1 mile = 5280 feet" and there are 60 minutes in an hour.$	$20 \times 5280 \div 60 = 1760 feet/minute$
$We solve for the time in minutes by dividing the bridge length by the speed in feet per minute.$	$t = \frac{4024}{1760}$
$We simplify the fraction by canceling the common factor 8.$	$\frac{4024}{1760} = \frac{8 \times 503}{8 \times 220} = \frac{503}{220}$
$We approximate the quotient to find the time in minutes.$	$\frac{503}{220} \approx 2.29 minutes$

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