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It took Ellen 6 hours to ride her bike a total distance of 120 miles.

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Senior Manager
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It took Ellen 6 hours to ride her bike a total distance of 120 miles.  [#permalink]

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New post 29 May 2011, 22:50
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

72% (01:36) correct 28% (01:01) wrong based on 71 sessions

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It took Ellen 6 hours to ride her bike a total distance of 120 miles. For the first part of the trip, her speed was constantly 25 miles per hour. For the second part of her trip, her speed was constantly 15 miles per hour. For how many miles did Ellen travel at 25 miles per hour?

60
62.5
66 2/3
75
90

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Re: It took Ellen 6 hours to ride her bike a total distance of 120 miles.  [#permalink]

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New post 29 May 2011, 23:18
1
time for 1st part + time for 2nd part = total time
time for 1st part = d/25
time for 2nd part = (120-d)/15

so, d/25 + (120-d)/15 = 6
Solving for d, d = 75 miles. Choice D.
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Re: It took Ellen 6 hours to ride her bike a total distance of 120 miles.  [#permalink]

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New post 29 May 2011, 23:20
1
t1= d1/25 t1 and d1 is the time and distance traveled at 25miles/hr
t2=d2/15 t2 and d2 is the time and distance traveled at 15miles/hr

t1+t2=6
d1/25 +d2/15 = 6 --(1)

also, d1+d2=120 ---(2)

solving (1) and (2) for d1
d1=75.
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Re: It took Ellen 6 hours to ride her bike a total distance of 120 miles.  [#permalink]

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New post 13 Jan 2018, 13:48
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Re: It took Ellen 6 hours to ride her bike a total distance of 120 miles. &nbs [#permalink] 13 Jan 2018, 13:48
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