1. A team consisting of 10 men and 9 women can do a piece of work in 9 days and another team consisting of 8 men
and 15 women in 8 days. In how many days can the work be done by 16 men and 12 women?
2. Two pipes A and B can fill a cistern in 15 and 20 minutes respectively, while third pipe C can empty the tank in 30
minutes. If the three taps are opened successively for one minute each, how long will it take to fill the cistern?
3. A, B and C together can finish a work in 12 days. They started the work together and then A leaves after 4 days. If
B and C took 10 days to finish the remaining work, in how many days can A
alone do the work?
4. P can do a piece of work in 20 days and Q in 25 days. They worked together for 5 days and then Q left the work.
Find the number of days in which P can finish the remaining work.
5. Vipin cycles at 10 km/hr and reaches the school late by 4 minutes; if he cycles at 12 km/hr, he reaches the school
early by 4 minutes. Find the distance of the school from his house
6. A person walked at a speed of 2.5 m/sec to taxi stand and then took taxi, which travelled at a speed of 30 km/hr. if
he reached his office 13 km away in 40 minutes, find the distance between his home and taxi stand and also the time
taken to cover the distance.
7. A and B together can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do the same
work in 20 days. How long would each of them take to complete the job?
8. To do a certain work, C alone takes twice as long as A and B together, A alone takes 3 times as long as B and C
together. All three together complete the work in 5 days. How long would each take to complete the work
individually?
9. A and B can do a piece of work in 6 days and 9 days respectively; they work on alternate days starting with A on
the first day. In how many days will the work be completed?
10. A boy and his mother together can do a piece of work in 24 days while the boy, working with his father, can
complete it in 18 days. If the mother and father together take 36 days to complete the same work, then find the time in
which they can complete the work if all the three work together. Also find the time they would take to complete the
job, if they work individually.
11. A certain number of men can do a work in 15 days working 8 hours a day. If the number of men is decreased by,
then in how many days can twice the previous work be completed by the remaining men working 5 hours per day?
12. The capacities of A, B, and C to complete to piece of work is 1: 2 : 3. By working together, the three of them can
complete the work in 24 days. In how many days can C alone complete it?
13. A train crosses two persons who are cycling in the same direction as the train, in 12 seconds and 18 seconds
respectively. If the speeds of the two cyclists are 9 kmph and 18 kmph respectively, find the length and the speed of
the train.
14. A man can row a distance of 6 km in 1 hour in still water and he can row the same distance in 45 minutes with
the current. Find the total time taken by him to row 16 km with the current and return to the starting point.
15. 2 men or 3 boys can harvest a field in7 days. How long would 1 man and 2 boys take to harvest the same field?
16. A water tank has an inlet and an outlet. The inlet is capable of filing the tank in 20 minutes and the outlet is
capable of emptying the tank in 40 minutes. When the inlet was opened to fill the empty tank, the person did not
notice that the outlet was open. So both the inlet and outlet were open. In how much time will the tank be just filled?
17. Rohan alone can build a fence in 20 days. He starts the work and leaves it after 5 days. Suresh does the
remaining work in 12 days. How long will it take if Suresh did the whole work alone? How long will it take if Rohan
and Suresh work together from the beginning?
18. Sanjiv can type 30 words per minute and Ranjit can type 50 words per minute. If Sanjiv needs 30 minutes to
finish typing a piece of work, how long will Ranjit take to finish the same work?
19. Mohini and Rohini together can do a piece of work in 20 days. Mohini alone can finish the work in 30 days, if
Rohini would have been doing it alone, how long will she take?
20. A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?
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