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26 Apr 2019, 06:15
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
90% (01:20) correct
10%
(01:55)
wrong
based on 2210
sessions
History
Date
Time
Result
Not Attempted Yet
Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in \(\frac{2}{3}h\) hours, what was her average speed in miles per hour?
A. 1/3 mh
B. 2/3 mh
C. m
D. 3m/2
E. 3m
PS68502.01
Quantitative Review 2020 NEW QUESTION
A. 1/3 mh
B. 2/3 mh
C. m
D. 3m/2
E. 3m
PS68502.01
Quantitative Review 2020 NEW QUESTION
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26 Apr 2019, 10:49
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Bunuel
Carl averaged 2m miles per hour on a trip that took him h hours
distance = (rate)(time)
So, Carl's travel distance = (2m)(h) = 2mh
If Ruth made the same trip in 2h/3 hours, what was her average speed in miles per hour?
average speed = distance/time
So, Ruth's average speed = (2mh)/(2h/3)
= (2mh)(3/2h)
= 6m/2
= 3m
Answer: E
Cheers,
Brent
General Discussion
23 May 2019, 04:50
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Solution
Given
In this question, we are given
- • Carl averaged 2m miles per hour on a trip that took him h hours.
• Ruth made the same trip in 2/3h hours
To Find
We need to determine
- • The average speed of Ruth, in miles per hour.
Approach & Working
Both of them are making the same trip, hence, the distance covered by both of them will be the same.
- • Distance covered by Carl = 2m * h miles = 2mh miles
• Distance covered by Ruth = speed of Ruth * 2/3h miles
As the distance is same, we can write
- • 2mh = speed of Ruth * 2/3h
Or, speed of Ruth = 3m
Hence, the correct answer is option E.
