6-Time and work

A and B can do a job in 12 days. B and C can do the job in 16 days. After A has worked for 5 days and B has worked for 7 days, C can finish the rest in 13 days. In how many days can C do the work alone?

5-time and work

A, B and C can complete a work, working alone in 10, 15 and 20 days respectively. If all three work together, what fraction of the work is done by B?

4-time and work

A is thrice as good a workman as B, and takes 60 days less than B for doing a job. Find the time in which they can do it together?

3-time and work

Taps A and B can fill a tank in 12 mins and 15 mins respectively. If both are opened and A is closed after 3 mins, how long will it take for B to fill the tank?

2-time and work

A sum of money is sufficient to pay A's wages for 21 days and B's wages for 20 days. For how many days is the fund sufficient to pay the wages when both are working together?

1-Time and work

A can do a certain job in 12 days. B is 60% more efficient than A, B can do the work alone in ---------- 

Arithmetics --leaking tank

There is a leak in the tank. Because of the leak, the tank which usually is filled in 3 hours, now takes 3.5 hours to be filled. The leak alone will empty the filled tank in ......................... hours.









Answer

Let "x" ltrs/hr be the filling rate of tank.

Under normal situation volume of tank = 3x ltrs

since the tank has a leak, the volume of water fed to tank to make it full is 3.5x  ltrs.

So, excess volume of water lost because of leakage = 3.5x - 3x = 0.5x ltrs

Time taken to loose 0.5x ltrs of water = 3.5 hrs
.
So, time it will take to loose 3x amount of water = (3x/0.5x) x 3.5 = 21 hours