[GMAT math practice question]
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 km. 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 and Bob drive the same car. Alice drives the car for 1
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- Max@Math Revolution
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The prompt should specify that 1/4 of the trip = 1/4 of the total distance.
When the correct answer is plugged in, the difference between Bob's distance and Alice's distance = 40 km.
B: 80 km
Alice's distance = (1/4)(80) = 20 km.
Bob's distance = (total distance) - (Alice's distance) = 80 - 20 = 60.
Difference between Bob's distance and Alice's distance = 60 - 20 = 40 km.
Success!
The correct answer is B.
We can PLUG IN THE ANSWERS, which represent the total distance.Max@Math Revolution wrote:[GMAT math practice question]
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 km. What is the total distance travelled on the trip?
A. 60 miles
B. 80 miles
C. 100 miles
D. 120 miles
E. 125 miles
When the correct answer is plugged in, the difference between Bob's distance and Alice's distance = 40 km.
B: 80 km
Alice's distance = (1/4)(80) = 20 km.
Bob's distance = (total distance) - (Alice's distance) = 80 - 20 = 60.
Difference between Bob's distance and Alice's distance = 60 - 20 = 40 km.
Success!
The correct answer is B.
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Let T = total distance traveledMax@Math Revolution wrote:[GMAT math practice question]
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 km. 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
Answer: B
Cheers,
Brent
Let distance driven by Bob be B and distance drove by Alice be A. Let the total distance be X.
B - A = 40 km
B = 3X/4 and A = X/4
B - A = 3X - X/4 = 2X/4 = X/2
X/2 = 40 km.
Therefore, X = 80 km. Hence, B is the correct answer.
B - A = 40 km
B = 3X/4 and A = X/4
B - A = 3X - X/4 = 2X/4 = X/2
X/2 = 40 km.
Therefore, X = 80 km. Hence, B is the correct answer.
- Max@Math Revolution
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=>
Let d be the total distance traveled on the trip.
Alice drives (1/4)d and Bob drives (3/4)d.
The difference between the distances they drive is (3/4)d - (1/4)d = (1/2)d = 40.
Thus, d = 80.
Therefore, the answer is B.
Answer: B
Let d be the total distance traveled on the trip.
Alice drives (1/4)d and Bob drives (3/4)d.
The difference between the distances they drive is (3/4)d - (1/4)d = (1/2)d = 40.
Thus, d = 80.
Therefore, the answer is B.
Answer: B
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We can let x = the total distance of the trip in miles. Thus, Alice drove (1/4)x miles and Bod drove (3/4)x miles, and we have:Max@Math Revolution wrote:[GMAT math practice question]
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 km. What is the total distance travelled on the trip?
A. 60 miles
B. 80 miles
C. 100 miles
D. 120 miles
E. 125 miles
(3/4)x - (1/4)x = 40
(1/2)x = 40
x = 80
Answer: B
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