KVS MATHEMATICS QUIZ 1 (TIME & WORK)

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Question 1:

A and $B$ together can do a piece of work in 15 days, while $A$ alone can do that work in $18.75$ days. They started working together but $A$ left the work $12.5$ days before the completion of the work. For how many days did $A$ and $B$ work together?

Question 2:

36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?

Question 3:

If a typewriter takes four minutes to type a page, then how many typers will be needed to type 1080 pages between 1PM to 2 PM in the afternoon?

Question 4:

20 men can finish a certain work in 10 days, where as it takes 12 women to finish it in 10 days. If 15 men and 6 women undertake to complete the work, how many days will they take to complete it?

Question 5:

A contractor took a contract to complete a work in 124 days and employed 120 persons for the same. After 64 days he finds that he has completed $\frac{2}{3}$ of the work. Accordingly, by removing how many persons, he can complete the work in the given time?

Question 6:

A can complete a task in 8 days while B can complete it in 12 days. In how many days can C complete the task if all 3 of them together can complete it in 3 days?

Question 7:

12 women can complete a work in 64 day, then find how many women will be required to complete 2/3 rd of the same work in 16 days?

Question 8:

A alone can complete a work in 25 days and $B$ alone can complete the same work in 15 days. If $C$ is $60 \%$ less efficient than B, then find time taken by A and C together to complete the same work?

Question 9:

P and Q can complete a work in 9 and 12 days respectively. Working alternatively, in how many days the same work will be completed if Q starts the work.

Question 10:

20 women can do a piece of work in 15 days while 16 men can do the same work in 15 days then find the ratio of efficiency of men to women.