CUET General Test Arithmetic > Time & Work PYQs

P and Q can do work separately in 10 and 20 days, respectively. In how many days can they finish it, working together?

Ajeeta and Sanjeeta undertake a project for ₹ 48000. Further, it is known that Ajeeta can finish the project in 24 days and Sanjeeta can finish the project in 40 days while working alone. If the project gets completed in just 10 days when Ranjeeta also helped them in completing the project, then determine the amount that Ranjeeta would have received, if they distributed the amount in proportion to their respective working capability?

X, Y and Z together can do a piece of work in 16 (4/11) days. X and Y together can do the same work in 20 days. In how many days will Z alone finish the 60% of the work?

30 boys are engaged to do a piece of work in 15 days but it is found that in 5 days, 3/5 work is completed. How many boys may be allowed to go off, so that the work may be finished on time?

To complete a work, Aditi takes 60 % more time than Bimla. If both of them work together, they take 16 days to complete the work. How much time shall Bimla take to do it alone?

Arrange the following cases in ascending order in terms of number of days to complete the same work. (A) P can do (1/3)rd of the work in 5 days. (B) Q can do (1/6)th of the work in 4 days. (C) R can do 25% of the work in 4 days. (D) S can do 35% of the work in 7 days. Choose the correct answer from the options given below:

P completed $\frac{2}{5}$ part of certain work in 12 days. Further, Q completed the rest of the work in 18 days. In how many days could P and Q complete the work, if they worked together?

Ram can do a piece of work in 10 days and Anshu in 20 days. They work together but 2 days before the completion of the work, Ram leaves and Anshu completes the work. In total how many days was the work completed?

3 men or 15 boys can do a piece of work in 30 days. In how many days will 2 men and 5 boys do this work?

P and Q together can do a piece of work in 60 days. Q and R together can do it in 120 days. P and R together can do it in 90 days. In what time can Q alone do the same work?

A can complete a work in 16 days, working 6 hours a day. B can complete the same work in 12 days, working 9 hours a day. If both A and B work together, working 8 hours a day, in how many days can they complete the work?

4 men and 6 women can complete a job in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women take to complete the same job?

P can build a wall in the same time in which Q and R together can do it. If P and Q together could do it in 30 days and R alone in 40 days, in what time could Q alone do it?

A can do a work in 4 days, B can do same work in 8 days, then the time taken by A and B to do the same work together is:

8 men and 3 boys together can complete a piece of work in 5 days. If 5 boys can complete the same piece of work in 15 days, in how many days do 5 men complete the same piece of work?

Ram, Shyam and Hari can complete a work in 20, 25 and 30 days, respectively. Consider the following statements: (A) Ram and Shyam together will complete the work in $11\frac{1}{9}$ days. (B) Shyam and Hari together will complete the work in 14 days. Choose the correct answer from the options given below:

A and B can do a piece of work in 12 days; B and C together can do it in 15 days. If A is twice as good a workman as C, find the number of days in which B alone can do the work?

6 goats or 8 sheeps can graze a field in 50 days. 8 goats and 6 sheeps can graze the field in:

18 women complete a work in 24 days and 24 men complete the same work in 15 days. 16 women worked for 3 days and then they left. 20 men worked for the next 2 days, and then they are joined by 16 women. In how many days will they finish the remaining work?

A and B can complete a job in 24 days working together. A alone can complete it in 32 days. Both of them worked together for 8 days and then A left. The number of days B will take to complete the remaining job is:

A and B working together can finish a piece of work in 12 days while B alone can finish the same work in 30 days. Then determine that in how many days can A alone finish the same work?

P and Q together can do a job in 6 days. Q and R can finish the same job in 60/7 days. P started the work and worked for 3 days. Q and R continued for 6 days and finish the work. Then, the difference of days in which R and P , independently can complete the job is:

A and B, working separately can do a piece of work in 12 days and 20 days respectively. If they work alternately, beginning with A, then in how many days can the work be completed?

A, B and C can do some work in 40 days. A and C together can do twice as much work as B alone. Find the time taken by B to do the whole work.

'A' can build up a structure in 8 days and 'B' can break it in 3 days. 'A' worked building for 4 days and then 'B' joined and start breaking while 'A' kept building for another 2 days. In how many days will 'A' alone build up the remaining part of the structure?

P and Q can complete a job in 24 days working together. P can alone complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining job is:

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

The ratio of working efficiency of A and B is 4 : 5. If A alone completes the work in 15 days then in how many days can B alone complete the work ?

A completes $\frac{7}{20}$ of a work in 10 days. Then he completes the remaining work with the help of B in 5 days. The time required for A and B together to complete the entire work is:

A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days that A alone will take to finish the work is:

A, B and C can do a work in 10, 12 and 15 days respectively. In how many days will the work be completed if B is assisted by both A and C on every third day ?

Three men can complete a work in 6 days and 5 women can complete the same work in 18 days. In how many days can 4 men and 10 women together complete the same work ?

Rajan does $\frac{7}{11}$ of a work in 21 days. How many more days will he take to complete the work?

Nine boys can complete a work in 360 days, 18 men can complete the same work in 72 days and 12 women can complete it in 162 days. In how many days, can 4 men, 12 women and 10 boys together, complete the work ?

Rakesh can do a certain job in 12 days. Vipin is 60% more efficient than Rakesh. How many days will Vipin alone take to do the same job ?

A and B working together can do a work in 10 days. If A can do the work in 15 days, then how many days will B take to do the same work?

A and B can do a work in 9 days and 12 days respectively. If they work on alternate days starting with A, then in how many days will the work be completed?

If 36 persons can finish 50% of work in 12 days In how many days 72 person can finish the complete work?

A can do $\frac{1}{4}$th part of work in 12 days, B can do 50% work in 20 days , and C can do $\frac{1}{3}$rd of the same work in 15 days. Who complete the work first?

A can finish a work in 16 days and B can do same work in half the time taken by A. Then, working together, what part of same work they can finish in a day ?

If $\left(\frac{2}{9}\right)^{th}$ part of a tub is filled in 2 minutes, then the remaining part of the tub will be filled in :

Mohan asked 36 men to build his house in 30 day. 50% of the work got completed in just 10 days. So, Mohan removed some workers. Now, how many persons does he need to complete the remaining work in decided time?

P alone can do a piece of work in 5 days and Q alone in 4 days. P and Q undertook to do it for Rs. 3000. With the help of R they completed the work in 2 days. How much is to be paid to R?

A tyre has two punctures. The first puncture alone would have made the tyre flat in 6 minutes and the second alone would have done it in 9 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat?

2 women and 3 men can do a piece of work in 10 days while 3 women and 2 men can do the same work in 8 days. In how many days can 2 women and 1 man do the work?

Find in whichever condition/conditions filling of water tank is/are possible : A. One tap filling the tank in 2 liter / minute. B. One tap filling the tank in 15 liter / minute and one tap emptying the tank with speed 1 liter / minute. C. Two tap filling the tank with uniform speed of 4litre/minute and one tap emptying the tank with speed of 500 ml / sec. D. One tap filling the tank in 2 liter / minute and one tap emptying the tank with speed 4 liter / minute. Choose the correct answer from the options given below:

P can do a work in 12 days. Q can do the same work in 10 days. If P and Q come together, both of them can complete the same work in how many days?

$\frac{3}{4}$ part of the tank is filled by a motor pump in 15 minutes, then the rest part of the tank will be filled in

A can complete a work in 4 minutes. B in 5 minutes, C in 6 minutes and D in 10 minutes respectively. The average number of units of work completed by them per minute will be

A and B can complete a piece of work in 30 days. B and C in 10 days, which C and A in 5 days. If all of them work together, the time taken in completing the work

P, Q and R can complete a work in 12, 9 and 15 days respectively. Working together, they will complete the same work in:

If 36 farmers can do a piece of work in 24 hours, In how many hours will 18 farmers do it?