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Babu and Asha can do a job together in 7 days.
Asha is 1 3 times 4
as efficient as Babu. The same job can be done by Asha alone in
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49 days 4
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49 days 3 - 11 days
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28 days 3
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Correct Option: C
Ratio of efficiency of Babu and Asha
= 1 : | = 4 : 7 | 4 |
As the time taken is inversely proportional to efficiency, therefore, if Babu takes 7x days to complete work, Asha will take 4x days.
= | + | = | ||||
7x | 4x | 7 |
⇒ | = | |||
28x | 7 |
⇒ 28x = 11 × 7
⇒ x = | = | |||
28 | 4 |
∴ Asha will complete the work in
4x = 4 × | = 11 days | 4 |
Aliter : Using Rule 22,
Here, n = | , D = 7 | 4 |
∴ Time taken by Asha
= | × D days | n |
= | × 7 | 7/4 |
= | × 7 = 11 days | 4 |