J P Mohindru and Bharat Mohindru Solutions for Chapter: Quadratic Equations, Exercise 10: EXERCISE

$A$ takes $10$ days less than the time taken by $B$ to finish a piece of work. If $A$ and $B$ together can finish the work in $12$ days, find the time taken by $B$ alone to finish the work.

$A$ and $B$ together can do a piece of work in $6$ days, while working separately $B$ takes $5$ days more than $A$. How many days each take to do it alone?

Reservoir will be filled in $12$ hours. One pipe fills the reservoir $10$ hours faster than the other. How many hours will the second pipe take to fill the reservoir?

Two pipes running together can fill a tank in $11\frac{1}{9}$ minutes. The one pipe takes $5$ minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately.

To fill a swimming pool two pipes are used. If the pipe of larger diameter used for $4$ hours and the pipe of smaller diameter for $9$ hours, only half of pool can be filled. Find, how long it would take for each pipe to fill the pool separately, if the pipe of the smaller diameter takes $10$ hours more than the pipe of larger diameter to fill the pool?