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It took Ellen 6 hours to ride her bike a total distance of 1
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14 Apr 2020, 10:28
14 Apr 2020, 10:28
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76% (01:54) correct
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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?
A) 60
B) 62.5
C) \(66\frac{2}{3}\)
D) 75
E) 90
A) 60
B) 62.5
C) \(66\frac{2}{3}\)
D) 75
E) 90
Re: It took Ellen 6 hours to ride her bike a total distance of 1
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14 Apr 2020, 10:56
14 Apr 2020, 10:56
+1 kudos to all the posts containing proper explanations
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: It took Ellen 6 hours to ride her bike a total distance of 1
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14 Apr 2020, 14:29
14 Apr 2020, 14:29
3
workout 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?
A) 60
B) 62.5
C) \(66\frac{2}{3}\)
D) 75
E) 90
A) 60
B) 62.5
C) \(66\frac{2}{3}\)
D) 75
E) 90
GIVEN: It took Ellen 6 hours to ride her bike a total distance of 120 miles.
Let t = the total time spent travelling 25 miles per hour
So, 6 - t = the total time spent travelling 15 miles per hour
Now let's start with the word equation:
(distance traveled at 25 miles per hour) + (distance traveled at 15 miles per hour) = 120 miles
distance = (speed)(time)
We get: (25)(t) + (15)(6 - t) = 120 miles
Expand: 25t + 90 - 15t = 120
Simplify: 10t + 90 = 120
Subtract 90 from both sides to get: 10t = 30
Solve: t = 3
So, Helen spent 3 hours travelling 25 miles per hour
So, distance traveled at 25 mph = (3)(25) = 75 miles
Answer: D
Cheers,
Brent
