Learn and practice Problems on time and work with easy explaination and shortcut tricks. All questions and answers on time and work covered for various Competitive Exams

Solve Problems:

1) Worker A completes a task in 8 days, and worker B completes the same task in 10 days. If both A and B work together, in how many days they will complete the task?

Worker A completes the task in 8 days. So, in one day, he will complete(1/8)part of the task.

So, A’s one day work =1/8

Similarly, B’s one day work =1/10

∴ (A+B)’s one day work =1/8 + 1/10 = 9/40

9/40 of the task is completed in one day so both will complete the whole task in 40/9 days .

2) Vikas and Mohan working together can complete a work in 6 days. If Vikas alone completes the same work in 10 days, in how many days Mohan alone can complete the same work?

Vikas and Mohan together can complete the task in 6 days. So, in one day, they will complete 1/6 part of the task.

Therefore, (Vikas + Mohan)’s one day work will be =1/6

Similarly, Vikas’s one day work =1/10

Therefore, Mohan’s one day work =

= (5-3)/30 = 1/15

In one day Mohan completes the 1/15 part of the work so he will complete the entire work in 15 days.

Try to solve more Problems on time and work.

3) A can do a work in 10 days and B can do the same work in 15 days. If they start working together but stop working after four days, find the fraction of the work that is left.

4) Peter is twice as good as workman as Tom. When they work together they can finish a task in 16 days. If Tom works alone, in many days he will complete the task?

As per the question, Peter can finish twice as much work as finished by Tom in a given duration of time.

Therefore,2/3 of their one day’s work will be completed by Peter and 1/3 of their one day work will be completed by Tom.

So, Tom’s one day work will be = 1/16 * 1/3 = 1/48

So, Tom will take 48 days to complete the task.

5) A can do a job in 12 days and B can do the same job in 10 days. With the help of C they can do the same job in 4 days. In how many days C alone can do this job?

B is 50%(150/100)more efficient than A so he will take less time to do a piece of work.

Therefore, the ratio of the time taken by A and B =(150/100)=3/2

Let B takes X days to do the job.

Then, 3/2 = 10/x

3X =20

X = 6.6 days

10) A can do a job in 30 days. B alone can do the same job in 20 days. If A starts the work and joined by B after 10 days, in how many days the job will be done?