M. Tyra Solutions for Chapter: Time and Work, Exercise 1: Exercises

A sum of money is sufficient to pay A's wages for $21$ days or B's wages for $28$ days. The money is sufficient to pay the wages of both for _____ days.

$10$ men can finish a piece of work in $15$ days. $8$ women can finish the same piece of work in $25$ days. Only $10$ women started working and in a few days completed a certain amount of work. After that $3$ men joined them. The remaining work was completed by $10$ women and $3$ men together in $5$ days. After how many days did $3$ men join $10$ women?

A project manager hired $16$ men to complete a project in $38$ days. However, after $30$ days, he realised that only $\frac{5}{9}$ of the work is complete. How many more men does he need to hire to complete the project on time?

C is $40\%$ less efficient than A. A and B together can finish a piece of work in $10$ days. B and C together can do it in $15$ days. In how many days can A alone finish the same piece of work?

A can complete a given task in $24$ days. B is twice as efficient as A. A started on the work initially, and was joined by B after a few days. If the whole work was completed in $10$ days, after how many days, from the time A started working, did B join A?

To complete a project, $18$ women take $4$ more days than the number of days taken by $12$ men. If eight men complete the project in $9$ days, how much work will be left when $15$ women and $12$ men together work for $3$ days?

B is $\frac{4}{3}$ times as efficient as A. If A can complete $\frac{5}{8}$ of a given task in $15$ days, what fraction of the same task would remain incomplete if B works on it independently for $10$ days only?

A alone can do a piece of work in $24$ days. The time taken by A in completing $\frac{1}{3}$ of the work is equal to the time taken by B in completing $\frac{1}{2}$ of the work. In what time will A and B together complete the work?