Free Practice Questions for Time-and-work in Maths

Practice questions here, for every subject and every exam. Unlimited questions for unlimited attempts, given with answers and explanations.

Question 121:

$\mathrm{A}$ can do $25 \%$  of a work in 15 days. He worked for 15 days and then B alone completed the remaining work in 30 days. In how many days will $A$ and $B$ working together complete $50\%$ of that work?

Question 122:

A and B working together can complete 45% of a work in 18 days. A alone can complete the same work in 60 days. A and B work together for 16 days, and then A leaves. B alone will complete the remaining work in:

Question 123:

X is 60% more efficient than Y, and Y alone can do a work in 80 days. Working together, X and Y will complete 52% of the same work in

Question 124:

To do a certain work, the ratio of the efficiencies of $A$ and $B$ is $7: 6$. Working together, they can complete the same work in 21 days. What part of the same work will be completed by B alone in 26 days?

Question 125:

A and B can complete a work in 12 days and 20 days, respectively. They work together for 4 days. C alone completes the remaining work in 14 days. B and C together can complete the same work in:

Question 126:

Five men and 2 boys can do as much work in 30 days as 7 men and 10 boys can do in 15 days. How many boys should be employed along with 40 men to do the same work in 4 days?

Question 127:

$A$ can do a piece of work in $48$ days and $B$ can do it in $60$ days. They work together for $12$ days and then $A$ leaves. In what time (in days and hours) $B$ will complete $25\%$ of the remaining work?

Question 128:

If 4 men and 6 boys can do a piece of work in 8 days and 6 men and 4 boys can do the same work in 7 days, then in how many days will 5 men and 4 boys do the same work?

Question 129:

$\mathrm{A}$ can do a piece of work in 16 days and $\mathrm{B}$ can do it in 12 days. They worked together for 4 days and then $A$ left. $B$ did the rest of the work alone. For how many days did $B$ work in total to complete the work?

Question 130:

A' can complete $40 \%$ of a work in 6 days, while 'B' can complete the work in $7 \frac{1}{2}$ days. If they work together, then in how many days will the work be completed?

Question 131:

'A' can complete a work in 15 days and 'B' can complete the same work in 20 days. Working together, in how many days will they complete $70 \%$ of the same work?

Question 132:

A tank is $25 \mathrm{~m}$ long, $12 \mathrm{~m}$ wide and $6 \mathrm{~m}$ deep. The cost (in ₹) of plastering its walls and bottom at ₹ $10$ per $\mathrm{m}^{2}$ is:

Question 133:

X, Y and Z can do a piece of work in 46 days, 92 days and 23 days respectively. X started work. Y joined him after 2 days. If Z joins them after 8 days from the start, then for how many days did X work?

Question 134:

There are 3 punctures in a tire. The first puncture alone deflates the tire in 9 minutes, the second puncture alone deflates the tire in 18 minutes and the third puncture alone deflates the tire in 6 minutes. If the air leaks out at a constant rate, then how long (in minutes) does it take for all the punctures together to deflate the tire?

Question 135:

In a press there are three types of printing machines $\mathrm{A}, \mathrm{B}$, and C. Machine $\mathrm{A}$ can print ten thousand pages in 8 hours, machine B can do the same task in 10 hours, and machine C can do the same task in 12 hours. All three machines start the task at 9:00 a.m. Machine A breaks down at $11: 00$ a.m. and machines $B$ and C continue working. At 12:00 noon machine B also breaks down and machine $C$ alone has to complete the remaining task. What is the approximate time of completion of the task?

Question 136:

Person $A$ can complete $1/5$ of work in 3 days, while the efficiency of $B$ is half that of $A$. In how many days can $A$ and $B$ working together do half of the work?

Question 137:

10 men can finish a piece of work in 10 days, whereas it takes 12 women to finish it in 10 days. If 8 men and 6 women undertake to complete the work, then in how many days will they complete it?

Question 138:

An officer undertakes to complete a job in 300 days. He employs 300 people for 60 days and they complete half of the work. He then reduces the number of people to 100 , who work for 120 days, after which there are 20 days' holiday. How many people must be employed for the remaining period to finish the work?

Question 139:

25 women can do a piece of work in 60 days. After how many days from the start of the work, should 15 more women join them so that the work is done in 45 days?

Question 140:

A man, a woman and a boy can do a piece of work in 3, 4 and 12 days respectively. How many boys should help one man and one woman to complete the same work in one day?

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