ALLAHABAD HIGH COURT QUANT(TIME AND WORK) QUIZ

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Question 1:

Pipe A and Pipe B can fill a tank in 4 and 16 hours respectively. In how many hours they together can fill the tank.

Question 2:

Two inlet taps A and B can fill a tank in 36 minutes and 60 minutes respectively. Find the time taken by both the taps together to fill $\frac{1}{6}$ th of the tank.

Question 3:

$\mathrm{A}$ 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 4:

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 5:

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 6:

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 7:

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?

Question 8:

15 boys can complete a work in 10 days and 12 girls can complete the same work in 15 days. If all 15 boys and 12 girls work together, in how many days will the work get completed?

Question 9:

A can complete a work in 10 days and B can complete it in 15 days. If they work on it together for 5 days, then the fraction of the work left will be:

Question 10:

P, Q and R can complete a work in 10 days, 20 days and 30 days, respectively, working alone. How soon can the work be completed if P is assisted by Q and R on alternate days?