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Difficulty:
35%
(medium)
Question Stats:
75% (01:55) correct
25%
(02:40)
wrong
based on 551
sessions
History
Date
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Three hoses work to fill a tub at at different rate. Hose A and B, working together, can fill the tub in 6/5 of an hour. Hoses A and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub?
A. 3/10
B. 2/5
C. 1/2
D. 1
E. 6/5
Edited for accurate solution
A. 3/10
B. 2/5
C. 1/2
D. 1
E. 6/5
Edited for accurate solution
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01 Nov 2015, 20:49
Kudos
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HunterJ
Convert the given time to rate and you will be able to add it up.
Total Rate of A and B = Rate of A + Rate of B = 1/(6/5) = 5/6
Total Rate of A and C = Rate of A + Rate of C = 1/(3/2) = 2/3
Total Rate of B and C = Rate of B + Rate of C = 1/2
Adding all three,
2(Rate of A + Rate of B + Rate of C) = 5/6 + 2/3 + 1/2 = 2
Rate of A + Rate of B + Rate of C = 1 tub/hour
Time taken by all three together to fill up the tub is 1 hour.
General Discussion
saikiransomala
Joined: 10 Apr 2015
Last visit: 18 Apr 2016
Posts: 60
Given Kudos: 101
Location: India
Concentration: Healthcare, Strategy
Schools: HKU'16 (D) ISB '17 (D) CEIBS '18 (A) CUHK '17 (A)
GMAT 1: 680 Q49 V34
GPA: 2.4
WE:Marketing (Healthcare/Pharmaceuticals)
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01 Nov 2015, 22:37
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Hi,
Total time is 1 hour.
None of the option choices match the arrived solution.
Regards
Total time is 1 hour.
None of the option choices match the arrived solution.
Regards
