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A bike traveling at a constant speed takes 5 minutes longer to travel
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03 Nov 2023, 09:39
03 Nov 2023, 09:39
Expert Reply
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Question Stats:
89% (01:58) correct
10% (01:43) wrong based on 19 sessions
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A bike traveling at a constant speed takes 5 minutes longer to travel 10 miles than it would take to travel 10 miles at 60 miles per hour. At what speed, in miles per hour, is the bike traveling?
(A) 36
(B) 40
(C) 42
(D) 48
(E) 50
(A) 36
(B) 40
(C) 42
(D) 48
(E) 50
Part of the project: The Butler-GRE Daily New Quant and Verbal Questions to Practice (2023) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
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Free Materials for the GRE General Exam - Where to get it!!
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: A bike traveling at a constant speed takes 5 minutes longer to travel
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29 Dec 2023, 14:46
29 Dec 2023, 14:46
Expert Reply
Re: A bike traveling at a constant speed takes 5 minutes longer to travel
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01 Jan 2024, 12:36
01 Jan 2024, 12:36
1
At 60 miles per hour, the time it takes to travel 10 miles is 10/60 hours.
How did I get 10/60 hours? I used the equation Speed = Distance/Time: 60 = 10/x. I just rearranged the equation.
We need to find the speed at which it takes the bile to cover the same distance in 10/x hours (where x is constant speed).
Since the difference in time is 5/60 hours, I set up this equation: 10/60 + 5/60 = 10/x
Solve this equation by combing the fractions -> 15/60 = 10/x
Simplify and solve to get x=40.
How did I get 10/60 hours? I used the equation Speed = Distance/Time: 60 = 10/x. I just rearranged the equation.
We need to find the speed at which it takes the bile to cover the same distance in 10/x hours (where x is constant speed).
Since the difference in time is 5/60 hours, I set up this equation: 10/60 + 5/60 = 10/x
Solve this equation by combing the fractions -> 15/60 = 10/x
Simplify and solve to get x=40.
