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10 Dec 2021, 03:15
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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:
75%
(hard)
Question Stats:
65% (02:46) correct
35%
(03:12)
wrong
based on 170
sessions
History
Date
Time
Result
Not Attempted Yet
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
Are You Up For the Challenge: 700 Level Questions
(A) 2:3
(B) 5:4
(C) 1:1
(D) 5:6
(E) 8:15
Are You Up For the Challenge: 700 Level Questions
19 Dec 2021, 10:33
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let 1/a be the rate of doing work of a
let 1/b be the rate of doing work of b
1/a+1/b=1/55
a+b/ab=1/55
ab = 55(a+b)
the capacity of a is inc. by 20% and that of b by 30%
1.2/a + 1.3/b =1/44
ab= 44(1.2b +1.3a)
therefore, 55(a+b) = 44(1.2b+1.3a)
Solving, we get a/b=1
let 1/b be the rate of doing work of b
1/a+1/b=1/55
a+b/ab=1/55
ab = 55(a+b)
the capacity of a is inc. by 20% and that of b by 30%
1.2/a + 1.3/b =1/44
ab= 44(1.2b +1.3a)
therefore, 55(a+b) = 44(1.2b+1.3a)
Solving, we get a/b=1
19 Dec 2021, 10:57
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Bunuel
\(55a + 55b = 44(1.2a + 1.3b)\)
Or, \(55a + 55b = 52.8a + 57.2b\)
So, \(2.2a = 2.2b\)
Thus, \(a : b = 1 : 1\), answer must be (C)
