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A train travels 60 miles per hour for 3 hours and then 45 miles per ho

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Bunuel
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A train travels 60 miles per hour for 3 hours and then 45 miles per ho [#permalink] New post   11 Mar 2019, 02:13
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A train travels 60 miles per hour for 3 hours and then 45 miles per hour for 2 hours. What is the train's average speed in miles per hour during the 5-hour period?

A. 55
B. 54
C. 52 1/2
D. 51
E. 50
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Re: A train travels 60 miles per hour for 3 hours and then 45 miles per ho [#permalink] New post   11 Mar 2019, 02:18
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Bunuel wrote:
A train travels 60 miles per hour for 3 hours and then 45 miles per hour for 2 hours. What is the train's average speed in miles per hour during the 5-hour period?

A. 55
B. 54
C. 52 1/2
D. 51
E. 50



Total distance = 60*3 + 45*2 = 270.

Total Time = 5.

Average speed = 270 / 5 = 54.

B is the correct answer.
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Re: A train travels 60 miles per hour for 3 hours and then 45 miles per ho [#permalink] New post   11 Mar 2019, 06:14
Bunuel wrote:
A train travels 60 miles per hour for 3 hours and then 45 miles per hour for 2 hours. What is the train's average speed in miles per hour during the 5-hour period?

A. 55
B. 54
C. 52 1/2
D. 51
E. 50


total distance / total time = avg speed
60*3 + 45*2/ 5
54
IMO B
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Re: A train travels 60 miles per hour for 3 hours and then 45 miles per ho [#permalink] New post   11 Mar 2019, 09:58
60m/hr was done is 60% of whole time (5-hour period).
And 45m/hr was done in 40% of whole time.

0.6*(60) + 0.4(45) = 36+18 = 54
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Re: A train travels 60 miles per hour for 3 hours and then 45 miles per ho [#permalink] New post   14 Mar 2019, 07:08
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Bunuel wrote:
A train travels 60 miles per hour for 3 hours and then 45 miles per hour for 2 hours. What is the train's average speed in miles per hour during the 5-hour period?

A. 55
B. 54
C. 52 1/2
D. 51
E. 50


We can use the formula:

average rate = (total distance)/(total time)

The total distance is 3 x 60 + 2 x 45 = 180 + 90 = 270 miles,

Thus, the average rate is:

270/5 = 54 mph

Answer: B
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Re: A train travels 60 miles per hour for 3 hours and then 45 miles per ho [#permalink] New post   19 Mar 2022, 13:09
Hello from the GMAT Club BumpBot!

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Re: A train travels 60 miles per hour for 3 hours and then 45 miles per ho [#permalink]
19 Mar 2022, 13:09
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