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16 Nov 2020, 12:44
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:
45%
(medium)
Question Stats:
64% (01:42) correct
36%
(01:56)
wrong
based on 144
sessions
History
Date
Time
Result
Not Attempted Yet
Two runners competed in the same race. If their race times add to 115 seconds, and one of the race times is 125 seconds less than 3 times the other, what was the race time of the faster runner?
(A) 45 seconds
(B) 50 seconds
(C) 55 seconds
(D) 60 seconds
(E) 65 seconds
(A) 45 seconds
(B) 50 seconds
(C) 55 seconds
(D) 60 seconds
(E) 65 seconds
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16 Nov 2020, 20:20
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BrentGMATPrepNow
Make the linear equations as per the given information.
Let the two be x and y.
x+y=115.........x=115-y
Also x=3*y-125=115-y
4y=240.....y=60 and so x=115-60=55.
Hence, the faster takes 55 seconds.
C
18 Nov 2020, 09:13
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BrentGMATPrepNow
Let x = the race time of one runner
Let y = the race time of the other runner
Their race times add to 115 seconds
We can write: x + y = 115
One of the race times is 125 seconds less than 3 times the other
We can write: x = 3y - 125
Rewrite as: x - 3y = -125
Was the race time of the faster runner?
We have:
x + y = 115
x - 3y = -125
Subtract of the bottom equation from the top equation to get: 4y = 240
Solve: y = 60
To find the corresponding value of x, take the equation x + y = 115 and replace y with 60 to get: x + 60 = 115
Solve: x = 55
So the other two race times are 60 seconds and 55 seconds
Since the faster runner will have the smaller race time, the correct answer is 55
Answer: C
Cheers,
Brent
