SEMINAR IN PROBLEM SOLVING FINALS EXERCISE 1

Tom and Jerry have to stuff and mail 1000 envelopes for a new marketing campaign. Jerry can do the job alone in 6 hours. If Tom helps, they can get the job done in 4 hours. How long would it take Tom to do the job by himself? (WRITE THE NUMBER ONLY)

One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours. How long would it take to fill the pool if both pipes were accidentally left open? (WRITE THE NUMBER ONLY)

Triplets, Justin, Jason, and Jacob are working on a school project. Justin can complete the project by himself in 6 hours, Jason can complete the project by himself in 9 hours, and Jacob can complete the project by himself in 8 hours. How long would it take the triplets to complete the project if they work together? (WRITE THE NUMBER ONLY AND CHANGE THE ANSWER INTO DECIMAL FORM)

Using a riding lawn mower, Sherry, the landscaper of a large park, can mow the lawn in 8 hours. With a small mower, her assistant Bob needs 14 hours to mow the same lawn. If Sherry and Bob work together mowing the lawn, how long will it take them to mow the lawn? (WRITE THE NUMBER ONLY AND CHANGE FRACTION TO DECIMAL FORM)

Jack and Jill are going up the hill to pull weeds. Jack can pull all of the weeds by himself in 8 hours; if Jill helps him they can pull the same amount of weeds in 5 hours. How long would it take Jill to pull the weeds working alone?

Will and Matthew own a small business. Will, working alone can complete a job in 8 hours. Matthew can complete the same job in 9 hours. How long would it take them to complete the job working together?

An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How long would it take the apprentice working alone?

Brian, Mark, and Jeff are painting a house. Working together they can paint the house is 6 hours. Working alone Brain can paint the house in 15 hours and Jeff can paint the house in 20 hours. How long would it take Mark to paint the house working alone?

Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?

Abugho can paint a room in 6 hours and abrea can do it in 3 hours. How long will it take abugho and abrea to paint the room working together?