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Que: Approximately how many seconds will it take for a car with a constant rate of 55 miles per hour......

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by Max@Math Revolution » Wed Mar 10, 2021 9:05 pm

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Que: Approximately how many seconds will it take for a car with a constant rate of 55 miles per hour to travel a distance of 750 feet? (1 mile = 5,280 feet)

A. 9.3 sec
B. 10 sec
C. 11.2 sec
D. 16 sec
E. 21 sec
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Re: Que: Approximately how many seconds will it take for a car with a constant rate of 55 miles per hour......

by Max@Math Revolution » Sat Mar 13, 2021 9:29 pm
Solution: We have to find the number of seconds car will take to travel 750 feet

=> Rate of car is 55mph and 1 mile=5,280 feet

Two units: Miles and Hour = Feet and seconds = 55 * 5,280 : 60 min

=> 55 * 5,280 : 60 * 60 secs

=> 55 * 5,280 : 60 * 60 secs = 750 feet : x sec

2nd Property of Ratios: If A : B = C : D, then AD = BC

=> x secs * 55 * 5,280 feet = 60 * 60 secs * 750 feet

=> x = \(\frac{\left(60\cdot60\cdot750\right)}{\left(55\cdot5,280\right)}\) = 9.3 seconds

Therefore, A is the correct answer.

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