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A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

4 days
6 days
8 days
18 days
Explanation:

Ratio of rates of working of A and B = 2 : 1.

So, ratio of times taken = 1 : 2.

Bs 1 days work =$ \dfrac{1}{12} $.

As 1 days work =$ \dfrac{1}{6} $; [2 times of Bs work]

$\left(A + B\right)$s 1 days work =$ \left(\dfrac{1}{6} +\dfrac{1}{12} \right) $=$ \dfrac{3}{12} $=$ \dfrac{1}{4} $.

So, A and B together can finish the work in 4 days.

Additional Questions

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

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A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

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X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

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A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

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P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

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Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

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A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

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A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

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A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

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