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A car travels from Town A to Town B at an average speed of

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by BTGmoderatorLU » Tue Jun 04, 2019 4:00 pm

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C

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E

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Source: Manhattan Prep

A car travels from Town A to Town B at an average speed of 40 miles per hour and returns immediately along the same route at an average speed of 50 miles per hour. What is the average speed in miles per hour for the round-trip?

A. \(45\frac{4}{9}\)mph

B. \(44\)mph

C. \(45\)mph

D. \(44\frac{4}{9}\)mph

E. \(44\frac{1}{9}\)mph

The OA is D
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by Scott@TargetTestPrep » Thu Jun 06, 2019 5:04 pm
BTGmoderatorLU wrote:Source: Manhattan Prep

A car travels from Town A to Town B at an average speed of 40 miles per hour and returns immediately along the same route at an average speed of 50 miles per hour. What is the average speed in miles per hour for the round-trip?

A. \(45\frac{4}{9}\)mph

B. \(44\)mph

C. \(45\)mph

D. \(44\frac{4}{9}\)mph

E. \(44\frac{1}{9}\)mph

The OA is D
We can let the distance each way = 200 and use the formula: average rate = total distance/total time:

average rate = (200 + 200)/(200/40 + 200/50)

average rate = 400/9 = 44 4/9 mph

Answer: D

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