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Que: Approximately how many seconds will it take for a car with a constant rate of 75 miles per hour.....

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by Max@Math Revolution » Mon May 03, 2021 9:05 pm

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Que: Approximately how many seconds will it take for a car with a constant rate of 75 miles per hour to travel a distance of 1,050 feet? (1 mile = 5,280 feet)

A. 9.5 sec
B. 9 sec
C. 10.2 sec
D. 12 sec
E. 15 sec
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Re: Que: Approximately how many seconds will it take for a car with a constant rate of 75 miles per hour.....

by Max@Math Revolution » Tue May 04, 2021 9:29 pm
Solution: We have to find the number of seconds a car will take to travel 1,050 feet

=> Rate of car is 75mph and 1 mile=5,280 feet

Two units: Miles and Hour = Feet and seconds = 75 * 5,280 : 60 min

=> 75 * 5,280 : 60 * 60 secs

=> 75 * 5,280 : 60 * 60 secs = 1,050 feet : x sec

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

=> x secs * 75 * 5,280 feet = 60 * 60 secs * 1,050 feet

=> x = \(\frac{60\cdot60\cdot1,050}{75\cdot5,280}\) = 9.5 seconds

Therefore, A is the correct answer.

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