Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund. If the four of them work at the same rate, how long will it take them now to build 3 tables?

Q: Sally can paint a room in 7 hours while it takes Steve 9 hours to paint the same room. How long…

A: Given that sally can paint a house in 7 hours. This implies that sally’s work is 1/7.Steve can paint…

Q: A small pipe can fill a tank in 8 minutes more time than it takes a larger pipe to fill the same…

A:

Q: Stan and Hilda can mow the lawn in 40 min if they work together. If Hilda works twice as fast as…

A:

Q: An experienced roofer can roof a house in 34 hours. A beginning roofer needs 51 hours to complete…

A:

Q: Josephine can correct her students test papers in 8 hours but if her teachers assistant helps it…

A: Josephine can correct her students test papers in 8 hours but if her teachers assistant helps it…

Q: Chloe can stuff envelopes twice as fast as her coworker Walter. Working together, Walter and Chloe…

A: Work done

Q: A homeowner estimates that it will take him 9 days to roof his house. A professional roofer…

A: Solution : According to the question ;             Let,   t = The amount of time to do the job…

Q: Ann can clean a house in 7 hours and Michael can do it in 5 hours. They agreed to clean the house…

A: We can find the required time as below

Q: A student can finish a project 15 minutes earlier than the other student. How long will it take them…

A:

Q: One automobile starts out from a town at 8 a.m. and travels at an average speed rate of 60 mph. 2…

A: Let A be First automobile and B be second automobile

Q: It takes Logan 8 hours to rake the front lawn while his brother, Paul, can rake the lawn in 6 hours.…

A: Logan can rake the front lawn in =8hoursPaul can rake the front lawn in =6hours

Q: Joyce can plant a garden in 120 minutes, and Jim can do the same job in 80 minutes. How long will it…

A: We have to find time in which both will work together.

Q: Mariya ran 14 miles in one week. At this rate, how many miles would she run in 5 days?

A: We know that , 1 week = 7 days .

Q: Dave and Sandy Hartranft can paint a room together in 4 hours.    Working alone, Dave can paint the…

A: Let the time for Sandy be x hrs.Therefore, time for Dave is (x - 2) hrs.Time taken when Dave and…

Q: Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long…

A: Sally can paint a room in 9 hours while Steve takes 3 hours to paint the same room. How long would…

Q: It takes Terry 2 hours longer to do a certain job than it takes Tom. They worked together for 3…

A: Given data: Terry takes 2 hours longer to do a certain job than it takes Tom.  They worked together…

Q: One pipe can fill the tank in 20 minutes while a second pipe can fill the same tank in 35 minutes.…

A: Here we will find the time required to fill the tank,

Q: Sally can paint a room in 8 hours while it takes Steve 6 hours to paint the same room. How long…

A:

Q: One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How…

A:

Q: It takes the cold water faucet as long to fill a bathtub as it does the hot water faucet. Left on…

A:

Q: Sally can paint a room in 8 hours while it takes Steve 7 hours to paint the same room. How long…

A:

Q: Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long…

A: Sam raked 3 bags of leaves in 16 minutes

Q: minutes

A: Speed of Jill jog = 2miles/15 minutes

Q: Jerry can frame a room in 1 hour, while jake takes 4 hours. How long would it take for them to frame…

A:

Q: Two carpenters can build 12 tables in one day working separately. At this rate, how many tables can…

A:

Q: Tracy can lay a slab of concrete in 3 hours, with Jordan’s help they can do it in 2 hours. If Jordan…

A: Tracy can lay a slab of concrete in 3 hours, with Jordan’s help they can do it in 2 hours. If Jordan…

Q: Adele and Adrianne can wash a car together in 2 hours. Adrianne, working alone can wash the same car…

A: We have given,Adele and Adrianne can wash a car together in 2 hoursAdrianne alone can wash a car in…

Q: An experienced roofer can roof a house in 18 hours. A beginning roofer needs 27 hours to complete…

A: An experienced roofer can roof a house in 18 hours. A beginning roofer needs 27 hours to complete…

Q: John can wash cars 3 times as fast as his son Erick. Working together, they need to wash 30 cars in…

A: Let n be the number of cars Erick can wash per hour, then John washes 3n cars per hour.

Q: Becca is twice as old as Susan and Greg is 9 years older than Susan 3 years ago, Becca was 9 less…

A: let assume present age of becca=x present age of susan=y present age of greg=z according to…

Q: It takes one team 9 days less than another team to paint a house. If the teams work together, it…

A: Time and Work question

Q: two mechanics; Bonita Rich and Pamela Pearson, take 8 hours to rebuild an engine when they work…

A:

Q: Stan and Hilda can mow the lawn in 40 minutes if they work together. If Hilda works twice as fast as…

A:

Q: Ellen can wash her car in 60 minutes. Her older sister Sarah can do the same job in 45 minutes. How…

A: Given, Ellen can wash her car in 60 minutes. Her older sister Sarah can do the same job in 45…

Q: Evan can clean a room in 3 hours. If his sister, Faith helps, it takes them two and two-fifths…

A: Given that  We have to find how many hours faith working alone.

Q: Rodrigo works on his project for 38 minutes every three hours. Michael works on his project for 32…

A: topic - rate of doing work

Q: It takes the cold water faucet twice as long as long to fill a bathtub as it does the hot water…

A: Assume time taken to fill the bath tub by, cold water faucet = t1hot water faucet   = t2Both hot…

Q: An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it…

A:

Q: If Jill jogs 2 miles in 15 minutes, how long will it take her (to the nearest minute) to jog 7 miles…

A: Given if Jill jogs 2 miles in 15 minutes. To find: Time required to jog 7 miles at same rate.…

Q: Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund. If the four of them work…

A: If a is directly proportional to b, then it can be written that ab=k.

Q: ) A telecom company estimates that 5 people send 1,000 text messages in a month. How many text…

A:

Q: Stan and Hilda can mow the lawn in 30 min if they work together. If Hilda works twice as fast as…

A: From given information ,

Q: Arthur can do a job in 30 minutes, Bonnie can do it in 40, and Clair can do it in 60 minutes. How…

A: let x be the time required in working together. Explanation of the answer is as follows

Q: Diane is 23 years older than her daughter Amy. In 6 years Diane will be twice as old as Amy. How old…

A:

Q: If Jill josh 2 miles in 15 minutes how long will it take her to the nearest minute to jog 5 miles at…

A: Given that Jill jog 2 miles in 15 minutes. To find Time taken by the Jill to jog 5 miles at tye same…

Q: It takes an older computer 3 times as long to send out a company's email as it does a newer…

A: Let the time taken by the newer computer to send the mail = x min  the newer computer rate = 1x…

Q: took Amari `2` hours to paint the first `14` feet of a `70`-foot-long fence.   At this rate, how…

A:

Q: Gian can finish an accounting work in 8 hours, while Leo can finish the same work in 6 hours. After…

A:

Q: Susan invests 3 times as much money at 8% as she does at 5%.  If her total interest after 1 year is…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.