A and B working together can do a piece of work in 6 days. B alone can do the same work in 14 days. How long (in days) will A alone take to do double the work?
Given
Time taken by A and B together = 6 days
Time taken by B alone = 14 days
Formula Used
Total Work = LCM of days
Efficiency = Total Work / Time
Solution
Let total work be the LCM of 6 and 14, which is 42 units.
Efficiency of (A + B) =units/day
Efficiency of B = units/day
Efficiency of A = 7 - 3 = 4 units/day
Double the original work =units
Time taken by A alone = days
Final Answer
So the correct answer is (a)
English
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A and B working together can do a piece of work in 6 days. B alone can do the same work in 14 days. How long (in days) will A alone take to do double the work?
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X can do a job in 20 days, Y in 30 days and Z in 36 days. Y and Z begin the work but have to leave after 5 days. How many complete number of days will X take to finish the remaining job?
Suggested Test Series
Suggested Test Series
Mahi would need twice as much time as Neha and Asha combined, while Asha would require three times as much time as Neha and Mahi combined to complete a certain task. If all three friends work together, they can finish the task in 20 days. How many days would Neha take to complete the same task on her own?
A and B working together can complete a piece of work in 2 days. B alone can complete the same work in 4 days. How long (in days) will A alone take to complete double the work?
Aditya can do 1/6 th of a piece of work in 5 days and Bhagawan can 1/5 th of the same work in 11 days. Find the number of days taken to complete the work if both work together. (Rounded off to one decimal place)
A and B working together can do a piece of work in 6 days. B alone can do the same work in 14 days. How long (in days) will A alone take to do double the work?
A and B working together can complete a piece of work in 2 days. B alone can complete the same work in 10 days. How long (in days) will A alone take to complete double the work?
Pinki, Chinki and Reema started a work and Reema left after 4 days when 46% of the work is completed and then work got completed in 9 more days. In how many days can Reema alone complete the work?
A and B can finish a work in 20 days while B and C can do it in 36 days. A started the work, worked for 5 days, then B worked for 10 days and the remaining work was finished by C in 15 days. In how many days could C alone have finished the whole work?
X can do a job in 20 days, Y in 30 days and Z in 36 days. Y and Z begin the work but have to leave after 5 days. How many complete number of days will X take to finish the remaining job?
