A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately. If A begins first, in how many days the work will be completed ?

A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately. If A begins first, in how many days the work will be completed ?

A. 42/4 days
B. 41/4 days
C. 55 days
D. None of these

4 men and 2 woman can complete a work in 2 days. If 2 men alone take 5 days to complete the work, find the time taken by 2 women alone to complete the work.

4 men and 2 woman can complete a work in 2 days. If 2 men alone take 5 days to complete the work, find the time taken by 2 women alone to complete the work.

A. 15 days
B. 10 days
C. 8 days
D. 20 days
(4/m)+(2/w) = 1/2 2/m = 1/5 1/m = 1/10 (4/10)+(2/w) = (1/2) 2/w = 1/10 2 women alone take 10 days.

B can work 3 times faster than A. They work together on a task and complete it in a day. How long does it take for B alone to complete the task?

B can work 3 times faster than A. They work together on a task and complete it in a day. How long does it take for B alone to complete the task?

A. 32 hours
B. 48 hours
C. 3 days
D. 4 days
Part of task completed by A in a day = 1/x Part of task completed by B in a day = 3/x (B is thrice as efficient as A) (1/x)+(3/x) = 1 4/x = 1 x = 4 B completes 3/4th of the task in a day. He takes 4/3 days to complete the entire task. 4/3 days = (4/3*24) hours = 32 hours

A and B together take 6 days to complete a task. B and C together take 12 days to complete the same task. A and C together take 8 days to complete it. If A, B and C are working together, how long does it take for them to complete the task?

A and B together take 6 days to complete a task. B and C together take 12 days to complete the same task. A and C together take 8 days to complete it. If A, B and C are working together, how long does it take for them to complete the task?

A. 4(2/3) days
B. 4 days
C. 5(1/3) days
D. 1(1/3) days
(1/A)+(1/B) = (1/6) (1/B)+(1/C) = (1/12) (1/A)+(1/C) = (1/8) Solving the three equations,
(1/A)+(1/B)+(1/C) = (3/16) Together they take 16/3 = 5(1/3) days to complete the task.

A and B together can complete a work in 1.2 days,. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work ?

A and B together can complete a work in 1.2 days,. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work ?

A. 10 days
B. 11 days
C. 15 days
D. 20 days

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last ?

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last ?

A. 6 days
B. 10 days
C. 15 days
D. 20 days
Work done by X in 4 days = ( 1/20X 4 ) = 1/5 Remaining work = (1 – 1/5 ) = 4/5 (X + Y)’s 1 day’s work = 1/20 + 1/12 = 8/60 = 2/15 Now, 2/15 work is done by X and Y in 1 day. So, 4/5 work will be done by X and Y in 15/2 X 4/5 = 6 days Hence, total time taken = (6 + 4) days = 10 days.

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___________?

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___________?

A. 8 days
B. 10 days
C. 12 days
D. 15 days
(A.+ B)’s 1 day’s work = ( 1/15 + 1/10 ) = 1/6 Work done by A and B in 2 days = ( 1/6 X 2 ) = 1/3 Remaining work = ( 1 – 1/6 ) = 2/3
Now, 1/15 work is done by A in 1 day. so 2/3 work will be done by A in ( 15 X 2/3 ) = 10 days Hence, total time taken = (10 + 2) = 12 days.