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

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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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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25 Jun 2018, 05:55
00:00

Difficulty:

5% (low)

Question Stats:

93% (01:01) correct 7% (00:53) wrong based on 38 sessions

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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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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Expert Joined: 02 Aug 2009 Posts: 7095 Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one [#permalink] ### Show Tags 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 _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor CEO Joined: 11 Sep 2015 Posts: 3222 Location: Canada Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one [#permalink] ### Show Tags 25 Jun 2018, 06:35 Top Contributor 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 _________________ Test confidently with gmatprepnow.com Intern Joined: 03 Mar 2018 Posts: 31 GMAT 1: 620 Q44 V31 Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one [#permalink] ### Show Tags 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 _________________ KUDOS appreciated! Senior Manager Joined: 04 Aug 2010 Posts: 310 Schools: Dartmouth College Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one [#permalink] ### Show Tags 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! _________________ GMAT and GRE Tutor Over 1800 followers Click here to learn more GMATGuruNY@gmail.com New York, NY If you find one of my posts helpful, please take a moment to click on the "Kudos" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6611 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Alice and Bob drive the same car. Alice drives the car for 1/4 of one [#permalink] ### Show Tags 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 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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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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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.

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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