S Purkayastha Solutions for Chapter: Direct and Inverse Variations, Exercise 3: CHECK POINT

A. B and C can do a piece of work in $15, 12 \mathrm{and} 20$days respectively. They started the work together. but C left after $2$days. In how many days will the remaining work he completed by A and B$?$

A can do a piece of work in $14$ days which B can do in $21$ days. They began together and worked at it for $7$ Then A fell ill land B had to complete the remaining work.In how many days was the work,completed$?$

A cistern can be filled by one tap in  $8$hours and by another in $4$hours. In how much time will a cistern be filled. If both taps are opened together$?$

A tank can be filled by a tap in $5$ hours and emptied by an outlet pipe in $8$ hours. How long will it take to fill the tank, if both the tap and pipe are opened together $?$

Pipe A and B can fill a tank in $3$ hours and $4$ hours respectively. An outlet pipe C can empty a tank in $6$ hours. If all the three pipes are kept open simultaneously, in how many hours will the tank will be filled half $?$

Pipe A can fill a cistern in $6$ hours and pipe B can fill it in $8$ hours. Both the pipes are opened and after two hours, pipe A is closed. How much time will B take to fill the remaining part of the tank$?$

A pipe can fill a cistern in $6$ hours.Due to a leak in the bottom, the cistern is filled in $7$ hours.After the cistern is full, in how much time will it be emptied by the leak $?$

Tap A fills a tank in $3$3 hours, outlet pipes B and C can empty the tank in $4$ hours and $6$ hours respectively. If the tank is empty and taps A and B are turned on, then how long will it take to fill up $?$ After the tank is full, taps A , B and C are all turned on. How long will the tank take to be emptied $?$