SSC MTS QUANT QUIZ(TIME AND WORK)

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Question 1:

$\mathrm{A}$ and $\mathrm{B}$ can complete a work in 6 days. $\mathrm{B}$ and $\mathrm{C}$ can complete the same work in 10 days. A, B and C together can complete the same work in 5 days. In how many days can $\mathrm{A}$ and $\mathrm{C}$ complete the same work?

Question 2:

A, B and C can do a work separately in 20,35 and 60 days, respectively. They started the work together, but B and C left 8 days and 12 days, respectively, before the completion of the work. For how many days, did all three work together?

Question 3:

Person A takes 28 hours to complete a work. Person B completes the same work in one-fourth of the time taken by A. If the two persons work together; in how much time will the work be completed?

Question 4:

The speed of B in completing a work is 3 times that of A . If B completes the work in 28 days, then how many days will they take to complete the same work if they work together ?

Question 5:

Two men can complete as much work as 3 women can do in a certain time. Ten men and 6 women can complete a work in 5 days. If 4 men and 9 women work together, then in how many days will they be able to complete the same work ?

Question 6:

A machine can complete double the work that a man can complete in a given period of time. To complete a work, 10 machines and 5 men take 60 days. If there were 10 men and 5 machines, then the time it would have taken to complete the work is:

Question 7:

A can do $\frac{2}{5}$ of a work in 6 days and B can do $30 \%$ of the same work in 3 days. They worked together for 4 days. The remaining work was completed by $\mathrm{C}$ alone in 6 days. B and $\mathrm{C}$ together can complete $70 \%$ of the original work in :

Question 8:

A and B can complete a piece of work in 120 days, B and C can complete it in 150 days, and A and C can complete it in 200 days. In how many days can B alone complete two-fifths of the same work ?

Question 9:

A can complete $40 \%$ of a work in 6 days and B can complete $33 \frac{1}{3} \%$ of the same work in 8 days. They work together for 8 days. $C$ alone completes the remaining work in 4 days. A and $\mathrm{C}$ together will complete the same work in:

Question 10:

A can complete 25% of the work in 4 days, B can complete 50% of the same work in 12 days and C can complete the same work in 32 days. They started working together but C left after 4 days of the start and A left 6 days before the completion of the work. In how many days was the work completed?

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