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Alice and Bob drive the same car. Alice drives the car for 1/4 of one

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Alice and Bob drive the same car. Alice drives the car for 1/4 of one  [#permalink]

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New post 25 Jun 2018, 05:55
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[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

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Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one  [#permalink]

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New post 25 Jun 2018, 06:26
MathRevolution 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 1/4 and remainder 3/4 is driven by Bob..
Difference =3/4 - 1/4=1/2
So 1/2 of total =40, thus total=2*40=80
B
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Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one  [#permalink]

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New post 25 Jun 2018, 06:35
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MathRevolution 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


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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Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one  [#permalink]

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New post 25 Jun 2018, 08:09
MathRevolution 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


Let distance driven by Bob be B and distance driven by Alice be A. Let the total distance be X.
B - A = 40 kms
B = 3X/4 and A = X/4
B - A = 3X-X / 4 = 2X/4 = X/2
X/2 = 40 kms
Therefore, X = 80 kms. Answer B
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Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one  [#permalink]

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New post 25 Jun 2018, 10:29
MathRevolution 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


We can PLUG IN THE ANSWERS, which represent 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!


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Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one  [#permalink]

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New post 27 Jun 2018, 01:00
=>

Let d be the total distance traveled on the trip.
Alice drives \((\frac{1}{4})d\) and Bob drives \((\frac{3}{4})d.\)
The difference between the distances they drive is \((\frac{3}{4})d – (\frac{1}{4})d = (\frac{1}{2})d = 40.\)
Thus, \(d = 80.\)

Therefore, the answer is B.
Answer: B
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Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one  [#permalink]

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New post 17 Jul 2018, 16:00
MathRevolution 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



Back solving is perfect here.

Note :

Difference between the distance driven by Bob and the distance driven by Alice is 40 km

Option B:

The distance driven by Bob = 80 * 3/4 = 60.

The distance driven by Alice = 80* 1/4 = 20

so, (60-20) = 40 that is mentioned in the question paper.

The best answer is B.
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Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one &nbs [#permalink] 17 Jul 2018, 16:00
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