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Apr 2808:00 AM PDT
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Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
24 May 2022, 08:45
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
63% (03:13) correct
37%
(03:07)
wrong
based on 73
sessions
History
Date
Time
Result
Not Attempted Yet
Cars emerging from a motorway arrive at a junction that splits the road into two separate lanes. The number of cars per hour that continue in either lane is constant. If 700 cars per hour were diverted from the left lane to the right lane, the number of cars entering the right lane per hour would be twice as big as the number of cars entering the left lane per hour. Alternatively, if 700 cars per hour were diverted from the right lane to the left lane, the number of cars entering the left lane per hour would be four times as great as the number of cars entering the right lane per hour. How many cars enter the left lane per hour?
A. 1300
B. 1500
C. 1700
D. 1900
E. 2100
A. 1300
B. 1500
C. 1700
D. 1900
E. 2100
24 May 2022, 11:19
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Bunuel
Breaking Down the Info:
Let x be the number of cars entering the left lane, and y be the number of cars entering the right lane.
The first equation tells us \(2(x - 700) = y + 700\). The second equation can be translated to \(x + 700 = 4(y - 700)\).
Multiply the second equation by 2, then subtract the first equation from that to get:
\(1400 + 1400 = 8(y - 700) - y - 700 = 7y - 6300\)
\(200 + 200 = y - 900\) and \(y = 1300\).
Finally, \(x = 4*(600) - 700 = 1700\)
Answer: C
24 May 2022, 18:25
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Bunuel
From the question stem:
2(L-700) = R+700
L+700 = 4(R-700)
Distribute first equation:
2L-1400 = R+700
L+700 = 4R-2800
Multiply first equation by 4:
8L-5600 = 4R+2800
L+700 = 4R-2800
Subtract second equation from first:
7L-6300 = 5600
Add 6300 to both sides:
7L = 11900
Divide both sides by 7:
L = 1700
Answer choice C.
