Time and Work Exercise 1

16 men can complete a piece of work in 8 days. In how many days can 12 men complete the same piece of work?

17 men can complete a piece of work in 12 days. In how many days can 6 men complete the same piece of work?

12 Men can complete one-third of the work in 8 days. In how many days can 16 men complete that work?

Computer A takes 3 minutes to process an input while computer B takes 5 minutes. If computers A, B and C can process an average of 14 inputs in one hour, how many minutes does Computer C alone take to process one input?

21 binders can bind 1400 books in 15 days. How many binders will be required to bind 800 books in 20 days?

Vikas gets ₹350 for every day that he works. If he earns ₹9,800 in a month of 31 days, for how many days did he work?

A man can do a piece of work in 10 days but with the assistance of his son, the work is done in 8 days. In how many days, his son alone can do the same piece of work?

A can knit a pair of socks in 3 days. B can knit the same thing in 6 days. If they are knitting together, in how many days will they knit two pairs of socks?

A group of US planes can completely destroy Bughdad in 7 days. However 12 planes develop technical faults. The remaining now can do the job in 10 days. Find the original group strength.

12 men take 18 days to complete a job whereas 12 women in 18 days can complete ¾ of the same job. How many days will 10 men and 8 women together take to complete the same job?

A can do ¾ of a work in 12 days. In how many days can he finish ⅛ of the work?

A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?

Bhavika alone would take 8 hours more to complete the job than when Bhavika and Ritika worked together. If Ritika worked alone, she would take 4½ hours more to complete the job than when Bhavika and Ritika worked together. What time would they take if both Bhavika and Ritika worked together?

If 36 men can dig a trench 200 metres long, 3 meters wide and 2 metres deep in 6 days working 10 hours a day. In how many days, working 8 hours a day will 10 men dig a trench 100 metres long, 4 m wide and 3 m deep?

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 a.m. while machine P is closed at 11 a.m. and the remaining two machines complete the work. Approximately at what time will the work be finished?

10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?

A can do a piece of work in 10 days, while B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get ₹450 for the whole work, how should they divide the money?

Two men A and B working together complete a piece of work which it would have taken them 30 and 40 days respectively to complete if they worked separately. If they received a payment of ₹2,100, B’s share is :

A contractor undertook to do a piece of work in 9 days. He employed certain number of labours but 6 of them were absent from the very first day and the rest could finish the work in only 15 days. Find the number of men originally employed.

X can do a piece of work in 15 days. If he is joined by Y who is 50% more efficient, in what time will X and Y together finish the work?

A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of wall?

12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?

A can do a piece of work in 9 days and B in 18 days. They begin together, but A goes away 3 days before the work in finished. The work lasts for

Three men, four women and six children can complete a work in seven days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?

12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, If it is to be completed in 3 days?