Question

A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 46 minutes? In 1 hour?

Answer 1

• 34.5 miles in 46 min.
• 45 miles in 1 hour

Explanation:

• 46 min.

its a ratio and proportion:

2.5 miles = x miles

3.33 min 46 min

3.33(x) = 2.5 (46)

x = 34.5 miles (in 46 min)

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• 1 hour = 60 min

its a ratio and proportion:

2.5 miles = x miles

3.33 min 60 min

3.33(x) = 2.5 (60)

x = 45 miles (in 1 hour)

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Answer 2

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Answer:

• 34.5 miles in 46 minutes
• 45 miles in 1 hour

Explanation:

The speed of the car in miles per minute is ...

(2 1/2 miles)/(3 1/3 minutes) = (5/2)/(10/3) miles/minute

= (5/10)(3/2) miles/minute = 3/4 miles/minute

Then in 46 minutes, the car will travel ...

(3/4 miles/minute)(46 minutes) = (138/4) miles = 34 1/2 miles

The car will travel 34 1/2 miles in 46 minutes.

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In 60 minutes, the car will travel ...

(3/4 miles/minute)(60 minutes) = 45 miles

The car will travel 45 miles in 1 hour.