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Question

A can do a piece of work in 66 days and B can do the same work in two-third of the time taken by A. Working together, what part of the same work can they complete in 12 days?

This question was previously asked in
SSC Selection Post 2021 Question Paper (09-Feb-2022) (Shift-1)
The correct answer is \(\frac{5}{{11}}\)

The correct answer is \frac{5}{{11}}.

If multiple entities work together, their rates add up. If entities work against each other (like pipes filling and emptying a tank), their rates are subtracted. The total time taken when working together is \frac{\text{Total Work}}{\text{Combined Rate}} . Understanding the relationship between time, work rate, and total work is crucial for solving these problems efficiently.

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Similar Questions

  1. If 72 persons build a 220-m-long wall in 6 days, then how many persons will be required to build the same type of wall of 550-m length in 5 days?

  2. A and B can complete a work in 16 days and 12 days respectively. Both work for 4 days and then A leaves.  Find how much time will B take to complete the remaining work?

  3. A can do a work in 10 days. He worked for 6 days and left the work. The remaining work was done by B in 8 days. In how many days can B alone do 65% of the work?

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Important Questions from Time and Work

  1. Mohan can do a piece of work in 10 days and Sohan in 15 days. They started working together, but after 3 days Mohan left the work . What time will Sohan take to finish the work?

  2. A tank is filled in 8 hours by three taps A, B and C. The tap C is thrice as fast as B and B is twice as fast as A. How much time will pipe B alone take to fill the tank?

  3. Had been one menless, then the number of days required to do a piece of work would have been one more. If the number of Man. Days required to complete the work is 56, how many workers were there?

  4. A can do a piece of work in 16 hours, B and C can do it in 8 hours while A and C can do it 12 hours. How long will B alone take to do it?

  5. lf 12 men can do a work in 20 days, in how many days will the work be done by 15 men-
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