Arihant Expert Team Solutions for Exercise 1: Practice Exercise

If $5$ men can do a piece of work in $6$ days and $10$ women can do it in $5$ days, in how many days can $3$ men and $5$ women do the same piece of work?

$A$ does $\frac{2}{5}$th of work in $9$ days, then with the help of $B$ and they together complete the remaining work in $6$ days. How long would $B$ alone have taken to complete the work?

A water tank of $1000 L$ capacity is connected to a tap which can fill it at the rate of $20 L/\min$ and water is let out at the same time at the rate of $5 L/\min$. After an hour the outlet is shut off. Find how long will it take now for the tank to become full.

A can do a piece of work in $9$ days. B is $50\%$ more efficient than A. The number of days it takes for B to do the same piece of work is

A can do a piece of work in $25$ days and B can do the same work in $30$ days. They work together for $5$ days and then A leaves. B will finish the remaining work in

A and B can complete a piece of work in $16$ days. A alone can do it in $24$ days. How long will B alone take to complete whole work?

If the work done by a man, a woman and a child be in the ratio of $3 : 2 : 1$ and if there be in the factory $20$ men, $30$ women and $36$ children, whose daily wages amount to $Rs. 234$, what will be the wages of $15$ men, $21$ women and $30$ children for $18$ week?

A and B working together could mow a field in $28$ days and with the help of C, they could have mowed it in $21$ days. How long would C take by himself?