5 men can build a fence in 14 days .If 7 men are employed ,find number of days in which the fence will be built?

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : 2 men and 5 women can do a piece of work in 4 days. While 4 men and 4 women can finish it in 3 days. How long would it take 1 man to do it ? How long would it take 1 woman to do it ?

150 workers were engaged to finish a job in a certain number of days. 4 workers dropped out on second day, 4 more workers dropped out on 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.

150 workers were engaged to finish a job in a certain number of days. 4 workers dropped out on second day, 4 more workers dropped out on 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.

8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 14 days. Find the time taken by a man alone and that by 1 boy alone to finish the work.

2 men and 5 boys can do a piece of work in 4 days, while 4 men and 4 boys can do it in 3 days. How long would it take one man alone to do it and how many days would it take one boy alone to do it ?

A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in the party, is :

2 women and 5 men can together finish an embriodery work in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : A part of monthly hostel charges in a college are fixed and remaining depend on number of days one has taken food in the mess. When a student A takes food for 20 days, he has to pay rs 1000 as hostel charges whereas student B who takes food for 26 days has to pay rs 1180 as hostel charges. Find fixed charges and cost of food per day.