Formulate the following problems as a pair of equations and then find their solutions.
4 men and 6 women can finish a piece of work in 21 days while 10 men and 3 women can finish it in 14 days. Find the time taken by one man along and that by one woman along to finish the work.

Formulate the following problem as a pair of equations and then find their solutions. 2 women and 5 men can together finish an embroidery work in 4 days while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 women alone and 1 man alone to finish the work.

A take 5 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 6 days, find the time taken by B to finist the work.

Formulate the following problem as a pair of equations and then find their solutions. A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours it can go 40 km upstream and 55 km downstream. Determine the speed of the stream and that of the boat in still water.

formulate the following problem as a pair fo equations and then find their solution. A boat goes 28 km upsteam and 39 km downstream in 7 hours, In 8 hours it can go 21 km upstream and 65 downstream. Determine the speed of the stream and speed of the boart in still water.

If x + 1 men will do the work in x + 1 days, find the number of days that (x+2) men can finish the same work.

Kavitha thought of constructing 2 more rooms in her house. She enquired about the labour. She came to know that 6 men and 8 women could finish this work in 14 days. But she wish to complete that work in only 10 days. When she enquired, she was told that 8 men and 12 women could finish the work in 10 days. Find out the how much time would be taken to finish the work if one man or one woman worked alone.

24 workers working 6 hours a day can finish a piece of work in 14 days.if each worker works 7 hours a day, find the number of workers to finish the same piece of work in 8 days.

From 6 men and 4 women a committee of 5 members is to be formed. The probability that this can be done so as to include atleast one woman always is

150 workers were engaged to finish a piece of work in a certain number of days. Four wirkers dropped from the work in the second day. Four workers dropped in third day and so on. It took 8 more days to finish the work. Find the number of days in which the work was completed. [ Let the no. of days to finish the work is 'x' then 150x = (x+8)/2[2 xx 150 + (x+8-1)(-4) ]