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

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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
4
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

83% (02:28) correct 17% (01:32) wrong based on 142 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
4
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 21 Jan 2019, 19:50
1
shrive555 wrote:
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


Let x = the number of hours Ellen rode her bike at 25 mph. Thus we have the following equation for the distance she rode:

25x + 15(6 - x) = 120

25x + 90 - 15x = 120

10x = 30

x = 3

So Ellen traveled at 25 miles per hour for 3 hours, for a total distance of 25 x 3 = 75 miles.

Answer: D
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Re: It took Ellen 6 hours to ride her bike a total distance of 120 miles.   [#permalink] 21 Jan 2019, 19:50
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It took Ellen 6 hours to ride her bike a total distance of 120 miles.

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