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A car travels from Town A to Town B at an average speed of 40 miles pe
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27 Feb 2023, 02:58
27 Feb 2023, 02:58
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Expert Reply
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Question Stats:
83% (01:20) correct
16% (01:10) wrong based on 6 sessions
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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?
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44 4/9
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: A car travels from Town A to Town B at an average speed of 40 miles pe
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02 Mar 2023, 00:50
02 Mar 2023, 00:50
1
Expert Reply
Let's use the formula for average speed, which is:
Average speed = Total distance / Total time
Let's assume that the distance between Town A and Town B is d miles. Then, the total distance of the round-trip is 2d miles.
To calculate the total time, we can use the formula:
Total time = Time taken to travel from A to B + Time taken to travel from B to A
Time taken to travel from A to B = d / 40
Time taken to travel from B to A = d / 50
Total time = (d / 40) + (d / 50)
Simplifying this expression:
Total time = (5d + 4d) / (200)
Total time = 9d / 200
Now, substituting the values for the total distance and total time into the formula for average speed:
Average speed = Total distance / Total time
Average speed = 2d / (9d / 200)
Simplifying this expression:
Average speed = 400 / 9
Average speed ≈ 44.44 mph
Therefore, the average speed for the round-trip is approximately 44.44 miles per hour or 44 4/9
Average speed = Total distance / Total time
Let's assume that the distance between Town A and Town B is d miles. Then, the total distance of the round-trip is 2d miles.
To calculate the total time, we can use the formula:
Total time = Time taken to travel from A to B + Time taken to travel from B to A
Time taken to travel from A to B = d / 40
Time taken to travel from B to A = d / 50
Total time = (d / 40) + (d / 50)
Simplifying this expression:
Total time = (5d + 4d) / (200)
Total time = 9d / 200
Now, substituting the values for the total distance and total time into the formula for average speed:
Average speed = Total distance / Total time
Average speed = 2d / (9d / 200)
Simplifying this expression:
Average speed = 400 / 9
Average speed ≈ 44.44 mph
Therefore, the average speed for the round-trip is approximately 44.44 miles per hour or 44 4/9
gmatclubot
Re: A car travels from Town A to Town B at an average speed of 40 miles pe [#permalink]
02 Mar 2023, 00:50
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