Q1. A and B can do a work in 6 days; B and C can do the same work in 8 days and A and C can do the same work in 10 days.
Find the time taken by B to complete the work alone.
Ans - 10 10/23 days
Q2. Amit can build a wall in 12 days. Anit can build the same wall in 16 days.
Find the time taken by both Amit and Anit to build a wall which is half the length of the original wall.
Ans - 3 3/7
Q3. 2 boys or 3 girls can complete a piece of work in 18 days.
In how many days 4 boys and 3 girls can complete the same work?
Ans - 6 days
Q4. Aman can complete a piece of work in (x) days. Aman and Ankit can complete the same work in (y) days.
Find the time taken by Ankit alone to complete the work ?
Ans - 𝑥𝑦/𝑥−𝑦
Q5. A can do a piece of work in 12 days and B in 16 days. They began to work together but 4 days before the completion of the work A leaves.
Find the number of days they worked together
Ans - 51/7days
Q6. A construction work was assigned to a group of labourers to do it in 60 days. But, 16 labourers did not turned up and the remaining men completed the work in 90 days.
Find the original number of labourers in the group?
Ans - 48
Q7. A can do a piece of work in 12 days. He work at it for 3 days and then B finishes the remaining work in 18 days.
In what time A and B together can complete the work.
Ans - 8
Q8. Pipe A can fill a cistern in 15 hours, pipe B can fill it in 20 hours and pipe C can empty it in 25 hours.
If all the pipes are opened simultaneously, in how many hours the tank will get completely filled?
Ans - 13 1/23
Q9. A is thrice as efficient as B and therefore is able to finish a piece of work in 15 days.
Find the time taken by B to complete the work.
Ans - 45
Q10. Anurag and Advit can do a piece of work in 4 days and 6 days respectively. They work together for 2 days and then Advit leaves.
Find the time taken by Anurag to complete the work.
Ans - 2/3
Q11. Two identical taps fill 23𝑟𝑑23rd of a tank in 30 minutes.
When one of the tap goes dry in how many minutes will the remaining one tap fills the rest of the tank
Ans - 30
Q12. Pipe A can fill a tank in 10 hours and pipe B can fill it in 20 hours. If pipe C is also opened then it takes 4 hours to fill the tank.
Find the time taken by pipe C alone to fill the tank?
Ans - 10
Q13. A is twice as good a work man as B and together they finish the work in 8 days.
In how many days A alone can finish the work?
Ans - 12
Q14. 'A' can do a piece of work in 6 days, and 'B' can do it in 8 days. With the help of 'C', A and B can complete the work in 22 days.
Find the time taken by 'C' alone to complete the work.
Ans - `4 4/5`
Q15. A can do a work in 14 days and B can do it in 21 days.
If they both work for 185185 days, find the fraction of the work left?
Ans - 4/7
