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07 May 2017, 12:08
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A
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:
68% (02:06) correct
32%
(02:20)
wrong
based on 339
sessions
History
Date
Time
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Not Attempted Yet
A motorboat, traveling 30 miles per hour faster than a certain cargo ship, leaves the dock 2 hours after that cargo ship leaves the same dock. If the two boats take the same route and the motorboat catches the cargo ship in 3 hours after the motorboat leaves the dock, then what is the motorboat's rate?
A. 75
B. 45
C. 30
D. 15
E. 10
A. 75
B. 45
C. 30
D. 15
E. 10
gmatexam439
GMAT 1: 730 Q49 V41
Posts: 1,054
07 May 2017, 12:21
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Bunuel
A: 75
Let speed of motorboat be = M
Let speed of cargo be =C
M=30+C
Total Time for M=3
Total time for C=5
Distance travelled by M and C is equal;
Therefore,
5C=3M
=> 5C=3C+90
=>C=45
Therefore, M=45+30=75
07 May 2017, 12:34
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Let the speed of the cargo boat be x. Hence the motor boat has speed x+30. Time at which the cargo ship leaves is t, since the motor boat leaves 2 hours later, time of motor boat is t+2
Since the motorboat catches with the cargo ship in 3 hours, distance travelled by both the cargo ship and motor boat is the same.
(x+30)3 = 5x
3x + 90 = 5x
2x = 90 or x=45
Hence speed of motor boat is 75(Option A)
Since the motorboat catches with the cargo ship in 3 hours, distance travelled by both the cargo ship and motor boat is the same.
(x+30)3 = 5x
3x + 90 = 5x
2x = 90 or x=45
Hence speed of motor boat is 75(Option A)
