Question

long will he take to do the same job? 3. A and B can do a piece of work in 10 hours, Band C in 12 hours and C and A in 15 hours, A cistern can be filled by one tap in 4 hours and by another in 5 hours. How long will it take do it in if they work together? Amar and Vijay together can do a piece of work in 10 days, 4. Two car mechanics, Ram and Shyam, working together, can overhaul a car in 3 many days would Vijay alone take to do the same work? days. Ram working alone can do the job in 5 days. If Shyam works alone, how 5. Three men Suresh, Ramesh and Dinesh can do a piece of work in 9 hours, 18 hours, and 12 hours respectively. How long will they take, if they work together? they take if they work together? How long will each take to complete the work independently 3 taps are opened together? 1 cistern can be filled by one tap in 2 2 fill, if they are opened together? -e tap fills a ​

Answer 1

Answer:

A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours.

Let tap A fill the cistern and tap B empty the cistern.

Work done by tap A =

4

1

Work done by tap B =

9

1

Work done to fill the tap when both are opened =

4

1

−

9

1

=

36

9−4

=

36

5

Thus, time taken to completely fill the cistern =

5

36

=7.2 hrs