Practice questions here, for every subject and every exam. Unlimited questions for unlimited attempts, given with answers and explanations.
They work alternatively
The wage will be distributed on the basis of part of work done by them.
P will work for 7 days
Work done by
work done by
Work done by
Ratio of work done
90 unit
If A works alone, he would take 8 days more to complete the job than of both
Let the time taken by
According to the question,
time is taken for both to work together
=12 days
A' alone completes
Let, total work = 50 unit
A do
Efficiency of
So,
Work left
A's 3 days work
Left work
Efficiency of
'
A and B together can complete a piece of work in 16 days. They worked together for 7 days and then A alone finished the remaining work in 21 days. B alone can complete the work in ___ days.
Clearly, in 7 days working together A
Total work is done by A alone in
Now,
B's 1 day work
Required time
A factory requires 42 machines to produce a certain number of articles in 63 days. It is proposed to produce the same number of articles in 54 days, using
According to question
Hence,
A and B can do a piece of work in 45 and 40 days respectively. They began the work together but A left after some days and
A's 1 days' work
A left the work after
Then, Work done by A in
Work done by B in
Given,
Amlesh can complete 25% of a work in 15 days. He works for 15 days and then Bablu alone finishes the remaining work in 30 days. In how many days will Amlesh and Bablu working together finish 30% of the same work?
Time taken to complete whole work
Time taken to complete whole work
Let the total work be
Efficiency of
Efficiency of
So, time taken to complete
A, B and
Let the total work be 180 . (LCM of 12,15 and 18 )
Efficiency of
Efficiency of
Efficiency of
They worked together, So
Ratio of efficiencies
Total wages
Given that
So, Share ofC
A can finish a piece of work in 48 days and B can finish it in 72 days. They work together for 12 days and then A goes away. In how much time (in days and hours) will B finish 25% of the remaining work?
Let the total work be 144 , (LCM of 48 and 72), So
Efficiency of
Efficiency of
They worked for 12 days
So, Work completed in 12 days
Remaining work
So,
Time
Or 10 days
X, Y and Z can do a piece of work in 38 days, 76 days and 19 days, respectively. X started the work. Y joined him after 2 days. If Z joined them after 8 days from the beginning, then for how many days did X work?
Let the total work be
So, Efficiency of
Efficiency of
And Efficiency of
Let the total time taken by
Ratio of efficiency of
Total work
So, Time taken by A to complete total work
According to question
Given,
given,
We get,
Let total work
B require time to finish work
Lcm of 10 and 15 be the total work.
Total efficiency of 1 st and 2 nd
Required time to cool the hall together
One day work for
A and work for 4 days
One day work for
Then efficiency of
one-third of the work
A and B working together can complete a work in 30 days. A alone can complete the same work in 50 days. In how many days can B alone do the same work?
Then efficiency of
Efficiency of
Efficiency of
B can do alone complete the work
Let
According to question
56 Machine
Let efficiency of
So, efficiency of B
efficiency of
Total efficiency of
Total work
Work done by
Remaining work 150-93= 57 unit
Work done by D in days
A factory requires 42 machines to produce a certain number of articles in 63 days. It is proposed to produce the same number of articles in 54 days, using x machines. The value of 3x is:
According to question
Hence,
B is
So,
So,
Comparing
Total work
Remaining work
B alone will complete the remaining work in days
Soni and Gita together can complete work in 8 h and Soni alone can complete the work in 12 h. In how many hours can Gita alone complete the work?
Let the Lcm of 8 and 12 be the total work
Efficiency of Geeta
Gita alone will complete the job