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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
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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
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
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
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
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
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
Let the total distance be d
Distance travelled by Alice = d4
Distance travelled by Bob = d−d4=3d4
Given, 3d4−d4=2d4=40 d=80
Hence, option B
gmatclubot
Alice and Bob drive the same car. Alice drives the car for 1/4 of one [#permalink]