Time & Work Questions with Solutions

10 questions4 easy6 medium

Time and work questions deal with how long one or more people, machines or pipes take to complete a task. The core idea is that if someone finishes a job in n days, they complete 1/n of the job each day. Questions involve people working together, joining or leaving partway, working on alternate days, efficiency comparisons, and wages shared in proportion to work done. Pipes and cisterns questions use the same logic and have their own page. The LCM method is the fastest approach for most questions. Take the total work as the LCM of the individual times, find each person's work per day, and the rest becomes simple division. This avoids messy fractions and makes problems with three or more workers much easier to handle. Practise the time and work questions below. Each solution shows the step-by-step working and the LCM shortcut where it helps.

All Questions Easy Medium Hard

Q1.
$X$ , $Y$ , $Z$ are painters. $X$ paints a wall of area A in 10 hours; $Y$ paints the same wall in 20 hours. Together, $X$ , $Y$ and $Z$ paint an area 2A in 8 hours. How many hours will $Z$ alone take to paint the wall A?
A. 20B. 15C. 10D. 16
mediumAsked in MAH MCA CET 2023View solution ›
Q2.
If 15 students can complete a project in 10 days, how many days will it take for 10 students to complete the same project?
A. 6B. 10C. 15D. 20
easyAsked in MAH MCA CET 2024View solution ›
Q3.
If 2 cats catch 2 mice in 2 minutes, how many cats are needed to catch 18 mice in 18 minutes?
A. 2B. 3C. 6D. 9
mediumAsked in MAH MCA CET 2024View solution ›
Q4.
If 6 cats catch 6 mice in 6 minutes, how many cats are needed to catch 36 mice in 18 minutes?
A. 10B. 12C. 13D. 16
mediumAsked in MAH MCA CET 2024View solution ›
Q5.
A and B can complete a work in 12 days, B and C complete a work in 15 days and C and A can complete a work in 20 days. Find in how many days they all together can complete a work?
A. 10B. 5C. 12D. 21
mediumAsked in MAH MCA CET 2024View solution ›
Q6.
A can do a work in 10 days and B can do the same work in 20 days. After working together for 4 days, B left and C joined in place of B. The remaining work was done by A and C in 2 days. In how many days can C alone do the work?
A. 12 daysB. 20 daysC. 10 daysD. 15 days
easyAsked in NIMCET 2023View solution ›
Q7.
A child can do a piece of work 15 hours slower than a woman. The child works for 18 hours on the job and then the woman takes charge for 6 hours. In this way, 3/5 of the work is completed. To complete the job now, how much time does the woman take?
A. 24 hoursB. 18 hoursC. 12 hoursD. 30 hours
mediumAsked in NIMCET 2010View solution ›
Q8.
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
A. 10900B. 648C. 1800D. 2700
easyAsked in NIMCET 2022View solution ›
Q9.
Two men and three boys can do a piece of work in ten days, while three men and two boys can do the same work in eight days. In how many days can two men and one boy do the work?
A. 12.5B. 9C. 9.5D. 8.5
mediumAsked in NIMCET 2018View solution ›
Q10.
If 1 man or 2 women can finish a job in 20 days, how many days will 3 men and 1 woman take to finish the same job?
A. 5B. 4C. 6D. $\frac{40}{7}$
easyAsked in NIMCET 2025View solution ›