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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Three hoses work to fill a tub at at different rate. Hose A and B, wor
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11 Jan 2023, 02:07
11 Jan 2023, 02:07
Expert Reply
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Question Stats:
100% (01:52) correct
0% (00:00) wrong based on 4 sessions
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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
A. 3/10
B. 2/5
C. 1/2
D. 1
E. 6/5
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Re: Three hoses work to fill a tub at at different rate. Hose A and B, wor
[#permalink]
12 Jan 2023, 22:20
12 Jan 2023, 22:20
Expert Reply
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.
\(Answer: D\)
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.
\(Answer: D\)
gmatclubot
Re: Three hoses work to fill a tub at at different rate. Hose A and B, wor [#permalink]
12 Jan 2023, 22:20
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