Manoj is twice as efficient a fisherman as Anuraj, and together they complete a piece of work in 22 days. In how many days can Anuraj alone complete the same work?
Efficiency Calculation for Anuraj Alone
Let the rate at which Anuraj works be '$R_A$' units per day.
Manoj is twice as efficient as Anuraj. Therefore, Manoj's work rate is '$R_M = 2 \times R_A$' units per day.
When they work together, their combined work rate is the sum of their individual rates:
$ R_{combined} = R_M + R_A = (2 R_A) + R_A = 3 R_A $
They complete the work together in 22 days. The total amount of work ($W$) can be calculated as:
$ W = R_{combined} \times \text{Time taken together} $
$ W = (3 R_A) \times 22 \text{ days} = 66 R_A \text{ units} $
To find the number of days Anuraj alone can complete the same work, we use the formula:
$ \text{Time for Anuraj} = \frac{\text{Total Work}}{\text{Anuraj's Work Rate}} $
$ \text{Time for Anuraj} = \frac{W}{R_A} = \frac{66 R_A \text{ units}}{R_A \text{ units/day}} $
$ \text{Time for Anuraj} = 66 \text{ days} $
Therefore, Anuraj alone can complete the same work in 66 days.
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Important Questions from Work Efficiency
A and B together can complete a certain work in 20 days whereas B and C together can complete it in 24 days. If A is twice as good a workman as C, then in what time will B alone do 40% of the same work?
14 men can complete a work in 15 days. If 21 men are employed, then in how many days will they complete the same work?
A can do a certain work in 15 days, while B can do the same work in 21 days. If they work together, then in how many days will the same work be completed?
To do a certain work, A and B work on alternate days with B beginning the work on the first day. A alone can complete the same work in 24 days. If the work gets completed in \(11 \frac{1}{3}\) days, then B alone can complete \(\rm \frac{7}{9}^{th}\) part of the original work in:
Two men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same work in 11 days. In how many days can 7 men complete the same work?
