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Donna is a mountain biking enthusiast. One Saturday, she spent the mor

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Donna is a mountain biking enthusiast. One Saturday, she spent the mor  [#permalink]

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New post 27 Mar 2019, 06:38
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Donna is a mountain biking enthusiast. One Saturday, she spent the morning biking up an uphill trail at an average speed of 20 kilometers per hour, and then returned by the same route in the afternoon at an average speed of 25 kilometers per hour. If the downhill trip in the afternoon took \(\frac{3}{4}\) of an hour less than the uphill trek in the morning, how many kilometers did Donna ride each way?

A. 50
B. 55
C. 65
D. 70
E. 75

Source: McGraw-Hill's GMAT (6th)

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Re: Donna is a mountain biking enthusiast. One Saturday, she spent the mor  [#permalink]

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New post 27 Mar 2019, 07:49
SajjadAhmad wrote:
Donna is a mountain biking enthusiast. One Saturday, she spent the morning biking up an uphill trail at an average speed of 20 kilometers per hour, and then returned by the same route in the afternoon at an average speed of 25 kilometers per hour. If the downhill trip in the afternoon took \(\frac{3}{4}\) of an hour less than the uphill trek in the morning, how many kilometers did Donna ride each way?

A. 50
B. 55
C. 65
D. 70
E. 75

Source: McGraw-Hill's GMAT (6th)



uphill distance = 20*t
downhill distance = 25 * (t-3/4)
since both distances are same
20*t = 25t-75/4
t= 75/20 hrs
so d = 20*75/20 ; 75 km
IMO E
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Re: Donna is a mountain biking enthusiast. One Saturday, she spent the mor  [#permalink]

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New post 29 Mar 2019, 07:34
SajjadAhmad wrote:
Donna is a mountain biking enthusiast. One Saturday, she spent the morning biking up an uphill trail at an average speed of 20 kilometers per hour, and then returned by the same route in the afternoon at an average speed of 25 kilometers per hour. If the downhill trip in the afternoon took \(\frac{3}{4}\) of an hour less than the uphill trek in the morning, how many kilometers did Donna ride each way?

A. 50
B. 55
C. 65
D. 70
E. 75

Source: McGraw-Hill's GMAT (6th)



Letting t = the time for the uphill part of the trip, we can create the equation:

20t = 25(t - 3/4)

20t = 25t - 75/4

75/4 = 5t

75/20 = t

15/4 = t

So the uphill distance was:

20 x 15/4 = 5 x 15 = 75 kilometers

Both the uphill and downhill distances were 75 kilometers.

Answer: E
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Re: Donna is a mountain biking enthusiast. One Saturday, she spent the mor   [#permalink] 29 Mar 2019, 07:34
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