Sue and Julie are running equally fast around a track. Sue started first. When she had run 9 laps, Julie had run 3 laps. When Julie completed 15 laps, how many laps had Sue run?

Q: It took six hours for Danny to clean the attic while Piolo took twelve hours to do the same job. If…

A:

Q: Allison drove home at 64 mph, but her brother Austin, who left at the same time, could drive at only…

A: Given: Allison drove home at 64 mph, but her brother Austin, who left at the same time, could drive…

Q: Irina ran 1/2 mile in 3 1/2 minutes. At that rate, how long would it take her to run 2 miles?

A:

Q: A 30lb person who runs at 6mph for 1 hour burns 720 calories. The same person, walking at 4mph for…

A: Number of calories a 130lb person burns while running at 6mph for 75 minutes is.

Q: Two cars are traveling north along a highway. The first drives at 40 mph, and the second, which…

A: Let the second car will take x hours to catch the first car.    We will use the formula :  Distance…

Q: A blue train leaves Central station traveling east at 15 miles per hour. Four hours later, a yellow…

A:

Q: Vivian went to the coffee shop traveling 12 mph and returned home traveling 8 mph. If the total trip…

A: This question can be solved by the concept of speed, time and distance.

Q: Jamir is tralning for a race and is running laps around a field. If the distance around the field is…

A: Distance around the field is 475 yards.

Q: e his

A: James can clean his dorm room in 3 hours  Forrest can clean his dorm room in 4 hours. So in 1 hour…

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: On their next training run, Pepe averaged a speed of 2323 of a mile in 5 minutes, while Paula…

A: Average speed of Pepe is 2323 mile in 5 minutes. Average speed of Paula is 1414 mile in 2 minutes.…

Q: A farmer bought a number of pigs for $220. However, 6 of them died before he could sell the rest at…

A: Consider former originally bought x pigs for $220 Hence, cost of 1 pig=220x Given that 6 pig are…

Q: A garden store sells Kentucky bluegrass seed for $7 per pound and ryegrass seed for $2 per pound.…

A: It is given that bluegrass seed is sold for $7 per pound and ryegrass seed is sold for $2 per pound.…

Q: Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives  30mi in clear…

A: Let her driving speed in nice weather be x mph Hence, her speed driving in the thunderstorm = (x -…

Q: Linda made $216 for 18 hours of work. At the same rate, how many hours would she have to work to…

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Q: Jay drove 4 hours to his home, driving 208 miles on the interstate and 40 miles on country roads. If…

A:

Q: It takes a boy 90 minutes to mow the lawn, but his sister can mow it in 60 minutes. How long would…

A: One day work of boy can be represented by the fraction 190.

Q: Terry can clean the house with 5 rooms in 11 hours while Tony can clean another house with 2 rooms…

A:

Q: Brett leaves Seattle at 60 miles per hour. 19 minutes later, Saba leaves Seattle traveling the same…

A:

Q: A freight train starts from Los Angeles and heads for Chicago at 40 mph. Two hours later a passenger…

A:

Q: Spencer went on a bike ride of 120 miles. He realized that if he had gone 25 mph faster, he would…

A:

Q: A farmer bought a number of pigs for $203. However, 4 of them died before he could sell the rest at…

A:

Q: On a bicycle, Alicia rides for 3 hours and is 29 miles from her house. After riding for 7 hours, she…

A: We can write the distance as a function of time D(3)= 29 and D(7)= 65

Q: Salma drove 792 miles in 11 hours. At the same rate, how many miles would she drive in 7 hours?…

A:

Q: n their most recent 8-mile training run, Pepe averaged a speed of 1212 of a mile in 4.5 minutes,…

A: On their most recent 8-mile training run,Pepe averaged a speedof 1212 of a mile in 4.5 minutes,while…

Q: Ms. Jones invested $25,000 in two accounts, one yielding 4% interest and the other yielding 8%. If…

A:

Q: A farmer bought a number of pigs for $208. However, 4 of them died before he could sell the rest at…

A: Let       number of pigs = n      Price per pig = p

Q: Mark Martin can row upstream at 5 mph and downstream at 11 mph. If Mark starts rowing upstream until…

A: Write the separate equation for each part of the trip: Upstream: d1= r1*t1 (1) d1= 5*t1 mi…

Q: Sully is having a party and wants to fill his swimming pool. If he only uses his hose, it takes 2…

A:

Q: Maria is 36 years old. Maria was twice as old as Adrian was when Maria was as old as Adrian is now.…

A: Given that Maria is 36 years old. Also, Maria was twice as old as Adrian was when Maria was as old…

Q: Ron traveled 6.8 miles of his delivery route in 1.2 hours. At this same rate, which of the following…

A: STEP :1  Here Ron travelled 6.8 miles in 1.2 hours.  Now we need to find the time  required for Ron…

Q: runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 48

A:

Q: Patrice, by himself, can paint four rooms in 10 hours. If he hires April to help, they can do the…

A: Patrice, by himself, can paint four rooms in 10 hours. If he hires April to help, they can do the…

Q: Gwen is twice as old as Arni was when Gwen was as old as Arni is now. If Gwen is 24 years old now,…

A:

Q: Maya runs 8 miles in 84 minutes. At the same rate, how many minutes would she take to run 6 miles?

A: See the attachment

Q: Emilio went on a bike ride of 36 miles. He realized that if he had gone 4 mph faster, he would have…

A: Solution: The objective is to find the actual speed

Q: Deon drove 436 miles using 16 gallons of gas. At this rate, how many miles would he drive using 14…

A:

Q: The pro shop at the Hidden Oaks Country Club ordered two brands of golf balls. Lightening balls cost…

A: The pro shop at the Hidden Oaks Country Club ordered two brands of golf balls. Lightening balls cost…

Q: Monica takes one hour to wash a car and Hilary takes one hour to wash a car.  If they work together,…

A: Let Monica and Hilary can complete the work in x hours if they work together.Washing a car can be…

Q: Max practiced piano 5 more than 3 times as many minutes as Margie did. If Max practiced for 50…

A:

Q: Jamir is running for a race and is running laps around the field. If the distance around the field…

A: Since, Jamir is running for a race and is running laps around the field.Given that if the distance…

Q: On a bicycle, Rachael rides for 4 hours and is 38 miles from her house. After riding for 6 hours,…

A:

Q: On their next training run, pepe averaged a speed of 2/3 of a mile in 5 minutes, while Paula…

A: We need to determine the distance traveled by each person in one minute. We can use this value to…

Q: Hagrid is 3 mi offshore in a boat transporting some first years to Hogwarts, whichis located 6 mi…

A: Let x is the distance from the point on the shortest nearest Hagrid’s boat to the landed point.…

Q: Kevin can mow his grandfather's lawn in 4 hours, while his younger cousin Patrick can mow the lawn…

A:

Q: Collin went on a bike ride of 24 miles. He realized that if he had gone 8 mph faster, he would have…

A:

Q: A third of Arun's marks in mathematics exceeds a half of his marks in english by 30 . if he got 240…

A:

Q: Tim and Tom were able to reupholster furniture in four hours together. It takes Tom eleven hours to…

A:

Q: In 1whole1/4 hours more time, Rita, riding her bicycle at 12 miles per hour, rode 2 miles farther…

A:

Q: Tracy is training for a race and is running laps around a track. If the distance around the field is…

A: Distance around the field = 475 yards ∴1 Lap = 475 yards Now, 1 mile = 1760 yards

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.