Embibe Experts Solutions for Chapter: Arithmetic, Exercise 13: Exercise 13

Pipe $A$can fill an empty tank in $20\mathrm{hours}$, while Pipe$B$ can empty the same filled cistern in $30\mathrm{hours}$. If $A$ and $B$are opened in alternate hours starting with $A,$ then in how many hours was the cistern filled?

Two taps $X$ and $Y$ can fill a tank in $12$$\mathrm{minutes}$ and $15$$\mathrm{minutes}$, respectively. If both the taps are opened simultaneously, and tap $X$ is closed after $3$ $\mathrm{minutes},$ then how much more time will it take to fill the tank with the help of tap $Y$?

Two pipes fill the tank in $12$ minute and $14$ minute respectively. Another pipe empties the same tank in $7$ minute. Find in how much part of the tank will fill when all three is opened for $7$ minute? 

The time is taken by pipe A to fill the tank is $20 \mathrm{hours}$, the time is taken by pipe B to fill the tank is double the time taken by tank A and the time is taken by pipe C is double the time taken pipe B to fill the tank. If pipe A is opened at $8:00 \mathrm{A}.\mathrm{M}.$, pipe B is opened at $9:00 \mathrm{A}.\mathrm{M}.$ and pipe C is opened at $10 \mathrm{A}.\mathrm{M}.$ Find the time at which the tank is completely filled. 

Pipe A can fill the tank in $120 \min$, pipe B can fill the tank in $60 \min$ while pipe C is the emptying pipe, If all three pipes are opened together then it can fill the tank in $80 \min$.Find the time taken by pipe C to empty $75\%$ of the tank.

Two taps A and B fill a tank in $15 \text{and} 20 \mathrm{hours}$ respectively, while a third tap C empties the filled tank in $25 \mathrm{hours}$. Initially, all three taps are opened and C has closed after $10 \mathrm{hours}$. In what time will the tank be filled?

A tank is filled in $4 \mathrm{hours}$ by three pipes A, B and C. The pipe C is $1\frac{1}{2}$ times as fast as B and B is $3$ times as fast as A. How many hours will pipe A alone take to fill the tank?

Pipes A and B can fill a tank in $12 \mathrm{h}$and $16 \mathrm{h}$ respectively, and pipe C can empty the full tank in $24 \mathrm{h}.$All three pipes are opened together, but after $4 \mathrm{h}$pipe B is closed. In how many hours, the empty tank will be completely filled?