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How many hours does it take Abbas to travel 245 miles if he spends 1/3
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26 Apr 2022, 02:00
26 Apr 2022, 02:00
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Question Stats:
66% (01:44) correct
33% (01:56) wrong based on 12 sessions
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How many hours does it take Abbas to travel 245 miles if he spends 1/3 of the time at 20 miles per hour, 1/3 of the time at 40 miles per hour, and 1/3 of the time at 80 miles per hour?
(A) 1.75
(B) 5.25
(C) 5.5
(D) 5.75
(E) 7.14
(A) 1.75
(B) 5.25
(C) 5.5
(D) 5.75
(E) 7.14
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: How many hours does it take Abbas to travel 245 miles if he spends 1/3
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26 Apr 2022, 07:07
26 Apr 2022, 07:07
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Carcass wrote:
How many hours does it take Abbas to travel 245 miles if he spends 1/3 of the time at 20 miles per hour, 1/3 of the time at 40 miles per hour, and 1/3 of the time at 80 miles per hour?
(A) 1.75
(B) 5.25
(C) 5.5
(D) 5.75
(E) 7.14
(A) 1.75
(B) 5.25
(C) 5.5
(D) 5.75
(E) 7.14
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
The key here is that Abbas spends an EQUAL amount of time driving at each of the three given speeds.
Let t = the time spent driving at each of the three given speeds
Distance = (rate)(time)
The distance driven at 20 mph = 20t miles
The distance driven at 40 mph = 40t miles
The distance driven at 80 mph = 80t miles
20t + 40t + 80t = 140t
So, after driving t hours at EACH speed, Abbas travels a total of 140t miles.
Since Abbas must travel a total distance of 245 miles, we have the following equation to solve: 140t = 245
Divide both sides of the equation by 5 to get: 28t = 49
Divide both sides of the equation by 7 to get: 4t = 7
Solve: t = 7/4 = 1.75 hours
So, Abbas must spend 1.75 hours travelling at EACH of the three speeds.
So his total travel time = 1.75 + 1.75 + 1.75 = 5.25 hours
Answer: B
gmatclubot
Re: How many hours does it take Abbas to travel 245 miles if he spends 1/3 [#permalink]
26 Apr 2022, 07:07
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