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4 1/2 miles in 2 1/4 minutes. Find the rate in miles per hour.

User Hawkeye
by
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1 Answer

7 votes

Answer:

Therefore, the rate is approximately 240 miles per hour.

Step-by-step explanation:

To find the rate in miles per hour, we need to convert the given distance of 4 1/2 miles and the time of 2 1/4 minutes into the same units.

Step 1: Convert the time to hours:

2 1/4 minutes can be written as 2.25 minutes. To convert this to hours, we divide by 60 since there are 60 minutes in an hour:

2.25 minutes ÷ 60 = 0.0375 hours

Step 2: Calculate the rate in miles per hour:

Rate = Distance ÷ Time

Rate = 4 1/2 miles ÷ 0.0375 hours

To simplify the calculation, let's convert the mixed number 4 1/2 to an improper fraction:

4 1/2 = 9/2

Rate = 9/2 miles ÷ 0.0375 hours

To divide fractions, we multiply by the reciprocal of the divisor:

Rate = (9/2 miles) × (1 ÷ 0.0375 hours)

Calculating this expression:

Rate = (9/2) × (1 ÷ 0.0375) ≈ 240 miles per hour

Therefore, the rate is approximately 240 miles per hour.

User Tasos Vogiatzoglou
by
8.3k points

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