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Alice and Bob drive the same car. Alice drives the car for 1/4 of one
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02 Apr 2021, 05:08
02 Apr 2021, 05:08
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Alice and Bob drive the same car. Alice drives the car for 1/4 of one trip, and Bob drives the car for the remainder of the same trip. The difference between the distance driven by Bob and the distance driven by Alice is 40 miles. What is the total distance travelled on the trip?
A. 60 miles
B. 80 miles
C. 100 miles
D. 120 miles
E. 125 miles
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 60 miles
B. 80 miles
C. 100 miles
D. 120 miles
E. 125 miles
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one
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02 Apr 2021, 05:38
02 Apr 2021, 05:38
1
Carcass wrote:
Alice and Bob drive the same car. Alice drives the car for 1/4 of one trip, and Bob drives the car for the remainder of the same trip. The difference between the distance driven by Bob and the distance driven by Alice is 40 miles. What is the total distance travelled on the trip?
A. 60 miles
B. 80 miles
C. 100 miles
D. 120 miles
E. 125 miles
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 60 miles
B. 80 miles
C. 100 miles
D. 120 miles
E. 125 miles
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let T = total distance traveled
Alice drives the car for 1/4 of one trip, and Bob drives the car for the remainder of the same trip
In other words, Bob drove 3/4 the distance.
We can write: (1/4)T = distance Alice drove
And (3/4)T = distance Bob drove
The difference between the distance driven by Bob and the distance driven by Alice is 40 km.
We can write: (3/4)T - (1/4)T = 40
Multiply both sides by 4 to get: 3T - T = 160
Simplify: 2T = 160
Solve: T = 80
Answer: B
Cheers,
Brent
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Status:Founder & Quant Trainer
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Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Alice and Bob drive the same car. Alice drives the car for 1/4 of one
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02 Apr 2021, 05:53
02 Apr 2021, 05:53
Carcass wrote:
Alice and Bob drive the same car. Alice drives the car for 1/4 of one trip, and Bob drives the car for the remainder of the same trip. The difference between the distance driven by Bob and the distance driven by Alice is 40 miles. What is the total distance travelled on the trip?
A. 60 miles
B. 80 miles
C. 100 miles
D. 120 miles
E. 125 miles
A. 60 miles
B. 80 miles
C. 100 miles
D. 120 miles
E. 125 miles
Let the total distance be \(d\)
Distance travelled by Alice = \(\frac{d}{4}\)
Distance travelled by Bob = \(d - \frac{d}{4} = \frac{3d}{4}\)
Given, \(\frac{3d}{4} - \frac{d}{4} = \frac{2d}{4} = 40\)
\(d= 80\)
Hence, option B
