R. Gupta Solutions for Chapter: Time and Work, Exercise 1: EXERCISE

A cistern is filled by a tap in $3\frac{1}{2}$ hours. Due to a leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full. How long it will take the leak to empty it?

A is twice as good a workman as B and thrice as good a workman as C. If C alone can do a piece of work in $24$ days, how long would be the three persons take to finish the work working together?

Two pipes can fill a tank in $8$ hours and $12$ hours respectively. Whereas an escape pipe can empty it in $6$ hours. If the three pipes are opened at $1$ p.m., $2$ p.m. and $3$ p.m. respectively at what time will the tank be filled?

Working $7$ hours daily $24$ men can complete a piece of work in $27$ days. In how many days would $14$ men complete the same piece of work working $9$ hours daily?

A, B and C undertake to do a piece of work for Rs. $529$. If A and B working together do $\frac{19}{23}$ work and B and C working together do $\frac{8}{23}$ work, how should the money be divided among them?

Two man undertook to do a job for $₹1400$. One of them can do it alone in $7$ days and the other in $8$ days. With the assistance of a boy, they together completed the work in $3$ days. How much money did the boy get?

If $3$ men and $5$ women can do a piece of work in $8$ days and $2$ men and $7$ boys can do the same work in $12$ days, find the number of boys, the work done by whom can equate the work done by $10$ women. 

A, B and C can complete a piece of work in $20, 12$ and $18$ days respectively. They start the work together but A drops out after $4$ days and B drops out $2$ days before the completion of work. The work will be finished in :