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# A and B together can complete a work in 55 days

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Manager
Joined: 03 Nov 2019
Posts: 54
A and B together can complete a work in 55 days  [#permalink]

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03 Dec 2019, 10:06
1
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Difficulty:

45% (medium)

Question Stats:

59% (03:00) correct 41% (02:43) wrong based on 27 sessions

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A and B together can complete a work in 55 days. If capacity of A is increased by 20% and that of B is increased by 30%. A & B together can now complete the work in 44 days. What is the ratio of original capacities of A and B?
A) 2:3
B) 5:4
C) 1:1
D) 5:6
E) 8:15
VP
Joined: 19 Oct 2018
Posts: 1295
Location: India
Re: A and B together can complete a work in 55 days  [#permalink]

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03 Dec 2019, 12:48
Total work= LCM(55, 44)= 220

A+B= 220/55=4......(1)

1.2A+1.3B= 220/44=5......(2)

From (1) and (2)

A=2 and B=2

A:B= 2:2= 1:1

Ansh777 wrote:
A and B together can complete a work in 55 days. If capacity of A is increased by 20% and that of B is increased by 30%. A & B together can now complete the work in 44 days. What is the ratio of original capacities of A and B?
A) 2:3
B) 5:4
C) 1:1
D) 5:6
E) 8:15
Re: A and B together can complete a work in 55 days   [#permalink] 03 Dec 2019, 12:48
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