Arihant Expert Team Solutions for Exercise 1: Practice Questions

$15$ men, $18$ women, and $12$ boys working together earned $Rs. 2070$. If the daily wages of a man, a woman, and a boy are in the ratio of $4:3:2$, the daily wages of $1$ man, $2$ women, and $3$ boys are (in $Rs$.):

A cistern can be filled up in $4$ hours by an inlet A. An outlet B can empty the cistern in $8$ hours. If both inlets A and B are opened simultaneously, then after how much time will the cistern get filled?

A pipe can fill a tank in $20$ hours. Due to a leak in the bottom, it is filled in $40$ hours. If the tank is full, how much time will the leak take to empty it?

Two pipes A and B can fill a tank in $6$ min and $7$ min respectively. If they are opened alternatively, then time taken by them to fill the tank is:

Two pipes A and B can fill a tank in $24$ min and $32$ min respectively. If both the pipes are opened together, after how much time pipe B should be closed, so that the tank is full in $18$ min?

A is thrice as good a workman as B and therefore is able to finish a job in $30$ days less than B. How many days will they take to finish the job working together?

If A and B together can complete a work in $12$ days. B and C together can complete the work in $15$ days. C and A can complete the work together in $20$ days. Then, B alone can complete the work in:

Total wages for a work is $Rs. 1280$. A alone can do this piece of work in $8$ days while B alone can do it in $12$ days. If A and B work on alternate days, find the share of A (in $Rs$.).