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21 Nov 2018, 23:43
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D
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Difficulty:
15%
(low)
Question Stats:
84% (01:39) correct
16%
(02:03)
wrong
based on 196
sessions
History
Date
Time
Result
Not Attempted Yet
Ahmad drives from his house to his friend's house averaging 60 miles per hour. On the return trip, he averages 50 miles per hour. His total driving time is 11 hours. What is the distance, in miles, between Ahmad's house and his friend`s house?
A. 110
B. 200
C. 220
D. 300
E. 330
A. 110
B. 200
C. 220
D. 300
E. 330
22 Nov 2018, 00:53
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Bunuel
Ahmad drives from his house to his friend's house averaging 60 miles per hour. On the return trip, he averages 50 miles per hour. His total driving time is 11 hours. What is the distance, in miles, between Ahmad's house and his friend`s house?
A. 110
B. 200
C. 220
D. 300
E. 330
A. 110
B. 200
C. 220
D. 300
E. 330
Avg. speed= total distance/total time-- (1)
Total distance would be 2D
total time= 11 hrs
Avg speed = 2*60*50/(60+50)= 600/11
Using (1)
Total distance 2D= 600*11/11
D= 300 option D
22 Nov 2018, 05:16
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Bunuel
Ahmad drives from his house to his friend's house averaging 60 miles per hour. On the return trip, he averages 50 miles per hour. His total driving time is 11 hours. What is the distance, in miles, between Ahmad's house and his friend`s house?
A. 110
B. 200
C. 220
D. 300
E. 330
A. 110
B. 200
C. 220
D. 300
E. 330
Average Speed in case of equal distances travelled = 2ab/(a + b) where a and b are the two speeds.
Here, speeds of 60 mph and 50 mph are maintained for equal distances. So avg speed \(= \frac{(2*60*50)}{(60+50)} = \frac{600}{11}\)
Total distance travelled = Avg speed * Total time \(= \frac{600}{11} * 11 = 600 miles\)
So distance each side = 300 miles
Answer (D)
For more on average speed formulas, check: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2015/0 ... -the-gmat/
