Abbie paints twice as fast as Beth and three times as fast as Cathie. If it takes them 60 min to paint a living room with all three working together, how long would it take Abbie if she worked alone?

Q: Kayla and Whitney both leave the bookstore at the same time, but in opposite directions. If Kayla…

A: Given problem:- Kayla and Whitney both leave the bookstore at the same time, but in opposite…

Q: Alice needs one hour to do a certain job. Betty, her older sister, can do the same job in 30…

A: Alice needs one hour(60 minutes) to do a certain job. So Alice does 1/60 of work in one minute .…

Q: Maria takes a boat upstream for 9 hours. Her return trip downstream only took 6 hours. If the river…

A: Let the velocity of Maria' boat in still water be v miles/hr, and the velocity of the water be vw…

Q: it takes angela 2hrs longer to do a certain job than it takes cat. They worked together for 3hrs,…

A: Let t = time required by cat to do the jobthen (t+2) = time required by angela to do the job

Q: Conner is 156 miles away from Brayden. They are traveling towards each other. If Brayden travels 9…

A:

Q: How long will it take a jogger jogging at 5 mph to catch up with a walker walking at 3 mph with one…

A: Speed of jogger 5mph Speed of walker 3mph

Q: The Cook family and the Edwards family each used their sprinklers last summer. The water output rate…

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: Working alone, Carlos can oil the lanes in a bowling alley in five hours. Jenny can oil the same…

A: Carlos can oil the lanes =5 hourscarlos can oil in 1 hour=15Jenny can oil the lanes =9 hoursJenny…

Q: it took a crew 2 hours and 40 minutes to row 6 kilometers upstream and back again. if the rate of…

A: Let x km/h be the rowing speed of the crew in still water Given the rate of the flow is 3 km/h Then…

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

A: Work done

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

A: It is given that Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund.

Q: Can I reach Pittsburgh, which is 612 miles away, if I drive for 7 and a half hours at a constant…

A: # as per the guidelines we are not entitled to give handwritten solutions Time of drive is 712hours…

Q: The sum of two resistors is 550V. One is 4.5 times the other. Find the size of each resistor.

A: To find the size of each resistor.

Q: Phineas can build a rocket in 7 hours while Ferb can do the same work in 14 hrs. If they work…

A: Given, Phineas can build a rocket in 7 hours, Ferb can do the same work in 14 hrs.  They together…

Q: The Ramirez family and the Wright family each used their sprinklers last summer. The water output…

A: Let, W is the time Wright family used sprinkler. R is the time Ramirez family used sprinkler.…

Q: Left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the…

A:

Q: A new machine makes 5000 aluminum cans three times faster than an older machine. With both machines…

A:

Q: long would it take to board all 150 passengers?

A:

Q: One pump fills a tank 4 times as fast as another pump. If the pumps work together, they fill the…

A: Let V ; volume of tank to be filled and T time taken by faster pump (in minutes)

Q: Some students did treadmill workouts, each one running at a constant speed. (1 kilometer = 1000…

A: Given  Tyler ran 4200 meters in 30 minutes. Kiran ran 6300 meters in 30 minutes. Mai run 6.3…

Q: A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8%…

A:

Q: A runs 7/4 times as fast as B. if A gives B a start of 84 miles , how far must the winning post be…

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: A salesman drives from Ajax to Barrington, a distance of 166 mi, at a steady speed. He then…

A: Let us suppose that the salesman was driving between Ajax and Barrington with speed s mi/hr.Then his…

Q: It takes Frank 2 hours longer than Jane to carpet a certain type of room. Together they can carpet…

A: Let Jane takes x hours to carpet the room alone . Then Frank takes (x+2) hours to carpet the room.

Q: Jack and Jill enter a 600 km scooter race. Jill drives 4 km/h faster than Jack, but her scooter gets…

A:

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

A:

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

A: This question is based on Unitary method.

Q: A bus leaves a city at 12:00 pm and travels 50 miles per hour. A car leaves the same city at 12:30…

A: Given that, the bus leaves a half -hour before the car. The speed(r) of the bus is 50 miles per…

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: Sol Lushen, a chemistry student, has two solutions, solution A and solution B.  Solution A contains…

A: Let the amount of solution A be x  And the amount of solution B be y.

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: Ahmed can run 4.3 m/s and Khaled can run 6.7 m/s. Ahmed is given a head start of 24 meters since he…

A:

Q: Two cyclists leave a city at the same time, one goingeast and the other going west. The westbound…

A: Given: Two cyclists leave a city at the same time, one goingeast and the other going west.

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: Patrice has worked a certain amount of hours so far this week. Tomorrowshe will work four more hours…

A: Let us assume that Patrice has worked for N hours so far.

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: A small pipe can fill a tank in 6 min more than it takes a larger pipe to fill the same tank.…

A: A small pipe can fill a tank in 6 min more than it takes a larger pipe to fill the same tank.…

Q: The Russell family and the Watson family each used their sprinklers last summer. The water output…

A:

Q: how long will it take to complete the sweeping?

A: Let the amount of time taken by the truck to sweep the entire town be t hours. The total distance…

Q: Quinn can refinish hardwood floors four times as fast as Jack. They have to refinish 100 square feet…

A:

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: Alexis is traveling by train to a vacation spot that is 810 miles away. The train is traveling at 90…

A: We have to find the time taken in hours by Alexis to reach her destination from her current position…

Q: calculate

A:

Q: In the lab, Keith has two solutions that contain alcohol and is mixing them with each other. He uses…

A: Percentage of a number i.e, a% can be written as a100=0.0a.

Q: Dave takes 15 minutes longer than Kate does to make the 60-mile drive between two cities. Kate…

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.