Kevin hiked up lambs Canyon in 2 hr and then ran back  in 1 hr. His speed running dowhiill was 2.5 mph greater than his speed hiking uphill. How far up the canyon did he hike?

Q: Kiran drove from Tortula to Cactus, a distance of 300 mi. She increased her speed by 20 mi/h for the…

A: Given:The distance from Tortula to Cactus is 300 mi and distance from Cactus to Dry Junction is 400…

Q: Khloe drove 204 miles in 4 hours. If she continued at the same rate, h ow long would it take to…

A: Khloe drove 204 miles in 4 hours for this the speed is 204/4 = 51 mile/hour for next 765 mile same…

Q: Adrian works in New York City and makes $42 per hour. She works in an office and must get her suit…

A: Let she has to work at least x hours In 1 hour she earns $42 In x hours she earns $42x    And her…

Q: On a bicycle, Heather rides for 9 hours and is 92 miles from her house. After riding for 11 hours,…

A:

Q: Mark bikes for 3 hours every day. What was his speed on the day when the distance he covered during…

A: Given  Time= 3 hours  Distance=27 miles

Q: Darren drives to school in rush hour traffic and averages 32 mph. He returns home in mid-afternoon…

A: Given that, The average speed reaching from home to school is 32 mph. And, The average speed…

Q: On a bicycle, Erin rides for 8 hours and is 50 miles from her house. After riding for 10 hours, she…

A:

Q: Amy agreed to clean her brother’s room for 36. It took her 1 hour longer than expected and therefore…

A: Amount to clean the house=Rs 36 She took 1 hour extra and earned Rs 3 less than anticipated To find…

Q: Isabel went on a 52 mile trip to a soccer game. On the way back, due to road construction she had to…

A: On solving this we will get

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: Felipe drove  408  miles using  16  gallons of gas. At this rate, how many miles would he drive…

A:

Q: Kristin is 20 miles behind a truck that is driving 50 miles per hour. How long will it take her to…

A:

Q: Darren drives to school in rush hour traffic and averages 27 mph. He returns home in mid-afternoon…

A: Given Darren drives to school in rush hour traffic and averages 27 mph. He returns home in…

Q: Sally gets paid x dollars per hour for a 40-hour work week and y dollars foreach hour she works over…

A: Till 40 hour work sally gets $ x per hour. Sally gets for 1 hour = $ x Sally gets for 40 hour = $…

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

A:

Q: Andrew must spend less than $68 on meals during the weekend. He has already spent $28 on meals, with…

A: Andrew must spend less than $68 in a week. He has already spent $28. And each meals costing $8 on…

Q: Jane spent 2 hours exploring a mountain with a dirt bike. When she rode the 40 miles uphill, she…

A: Let,  x be the jane's speed along the summit. jane's speed when she rode uphill is  (x- 5)mph To…

Q: Milan is going for a walk. He walks 4.8 miles in 3 hours. What is his speed? |miles per hour ?

A:

Q: Austin drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need…

A:

Q: Kiran drove from Tortula to Cactus, a distance of 247 mi. She increased her speed by 6 mi/h for the…

A: Topic :- Algebra

Q: Kellen paddled for 4 hours with a 3-km/h current to reach a campsite.  The return trip against the…

A: Given, Current is 3 km/hr and Let x km/hr be a boat speed in still water (x + 3) = speed going with…

Q: Faunia earns $10.00 for every dress she finishes making and $2.00 per hour for her work on dresses…

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: Candice spent 3 4s hours, and Shane spend 2 1o hours at track practice over the weekend. How many…

A:

Q: Clay can run one lap around the track in a of an hour. How many hours will it take him to run 5 laps…

A: Time taken to run one lap = 1/4  hour

Q: Milan drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to…

A: Here we have to find the amount of the gas.

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: On a 130 mile trip a car travled at an average speed of 55 mph and then reduced its speed to 40 mph…

A: Let t = number of hours at 55 mph. Therefore, Number of hours at 40 mph = 2.5 - t Formula used:

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

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: Greg is paddling his canoe upstream, against the current to a fishing spot 10 miles away. If he…

A:

Q: Michael took a drive down to the beach and drove at a pace of 45mph on the way there . The trip…

A: Let the return speed of Michael = x mph  we use  speed =Distance/ Time to find his return speed

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: Lauren rows a boat downstream for 18 miles. The return trip upstream took 16 hours longer. If the…

A:

Q: Rick paddled up the river, spent the night camping, and then paddled back. He spent 10 hours…

A:

Q: On a bicycle, Christy rides for 8 hours and is 82 miles from her house. After riding for 11 hours,…

A:

Q: Roberto invested some money at 7%, and then invested $4000 more than twice this amount at 12%. His…

A: Let, investment at 7% be x and investment at 12% be y. So, y=4000+2x          ...(1)

Q: Ann made $306 for 17 hours of work. At the same rate, how much would she make for 7 hours of work?

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: 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: Togther Julia and Kristie can rake their yard in 18 minutes. Alone, Julia needs 15 minutes longer to…

A:

Q: Latoya runs 6 miles in 45 minutes. At the same rate, how many minutes would she take to run 4 miles?

A:

Q: Winchester can weed a garden in 14 minutes by himself. When Winchester weeds a garden with his…

A:

Q: At first, Emuty had $142 and Anther had $37. After they each spent an equal amount of money, Emuty…

A: Given ,at first, Emuty had $142 and Anther had $37. After they each spent an equal amount of money,…

Q: Ricky left his house and rode his bike into town at 10 mph. Along the way he got a flat so he had to…

A: Let consider that speed=sDistance=dand time =t

Q: Ronald can save the driveway 4 hours, but brother Donald helpsit would take 2 hours. How long would…

A: Ronald can save the driveway 4 hours, but brother Donald helpsit would take 2 hours. How long would…

Q: Leila made $276 for 12 hours of work at the same rate how many hours would she have to work to make…

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.