An engineer traveled 110 mi by car and then an additional 750 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 8 h. Find the rate of the car. __________mph

Q: A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On the return…

A:

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: Betty and Bob made a trip of 54 miles, each by bicycle. Betty went 1.5 mi/hr faster then Bob which…

A: Given,

Q: Derek rowed 16 miles downstream in 2 hours. The trip back upstream, however, took him 4 hours. Find…

A:

Q: As part of flight training, a student pilot was required to fly to an airport and then return. The…

A: relation is as below :

Q: A kayaker made a trip on a river from her campsite to a waterfall, then back to the campsite. Since…

A: we know that speed = rate of change of distance with respective time. average speed with current…

Q: By increasing her usual speed by 15 kilometers per hour a bus driver decreases the time on a 15…

A:

Q: James traveled to the town hall and back. It took one hour longer to go there than it did to come…

A: James traveled to the town hall and back. It took one hour longer to go there than it did to come…

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: A boat's crew rowed 16 kilometers downstream, with the current, in 2 hours. The return trip…

A: Let us assume  that, x be the average rowing velocity of the crew in still water and  y be average…

Q: Tatiana started biking to the bookstore traveling 11 mph, after some time the bike got a flat so…

A:

Q: Autumn started biking to the library traveling 13 mph, after some time the bike got a flat so Autumn…

A:

Q: Pepe and Pilar agreed to race around an oval track. Pepe takes 35 minutes to complete one lap while…

A: Pepe covers the distance in 35 mins and Pilar covers it in 50 mins, therefore the time at which they…

Q: Farrell flies a plane against a headwind for 2745 miles. The return trip with the wind took 16 hours…

A: In this question, we have given that Farrell flies a plane against a headwind for 2745 miles. The…

Q: A fisherman can row upstream at 1 mph and downstream at 4 mph. He started rowing upstream until he…

A:

Q: An engineer traveled 180 mi by car and then an additional 680 mi by plane. The rate of the plane was…

A:

Q: For a portion of the Green River in Utah, the rate of the rivers's current is 4 mph. A tour guide…

A:

Q: A tortoise is walking in the desert. It walks for 93.75 meters at a speed of 3 meters per minute.…

A:

Q: a boat travels up for 60 miles in 4 hors and returns in 3 hours traveling in ariver. What is the…

A:

Q: An engineer traveled 175 mi by car and then an additional 735 mi by plane. The rate of the plane was…

A: Solve the following

Q: An engineer traveled 145 mi by car and then an additional 645 mi by plane. The rate of the plane was…

A:

Q: Jeff bicycles 120 miles at the rate of r mph. The same trip would have taken 5 hours longer if he…

A:

Q: Tony swam 4 kilometers against the current in the same amount of time it took him to swim 12 km with…

A:

Q: A commercial jet travels 4590 mi in the same amount of time it takes a corporate jet to travel 3870…

A: Consider x as the rate of corporate jet then x + 80 is the rate of commercial jet.The travel time…

Q: Helmut can paddle in still water at a speed of 4 km/h. If he paddled 10 km upstream against the…

A: This problem is related to river section of algebra. And we solve this using distance-time formula.

Q: Devaughn's age is two times Sydney's age. The sum of their ages is 39. What is Sydney's age?

A: The age of Sydney.

Q: For a portion of the Green River in Utah, the rate of the river's current is 4 mph. A tour guide can…

A: Let x be the rate in calm water.

Q: it takes Bert 30 minutes longer to mow a rectangular lawn that measures 30 feet by 25 feet than it…

A: As he mows the two lawns at the same rate per square foot, so by using this we cn calculate the time…

Q: Courtney drives 290 miles in the time it takes Jack to drive 180 miles. If Courtney drives 8 miles…

A: Let x be the speed of Courtney and y be the speed of Jack. Let t be the time in hours. According to…

Q: It takes Andrew 60 min to drive to work in the morning. He drives home using the same route, but it…

A: Given, it takes Andrew 60 min to drive to work in the morning. He drives home using the same route,…

Q: For a portion of the Green River in Utah, the rate of the river's current is 4 mph. A tour guide can…

A: Let ‘x’ be the rowing rate of the guide.

Q: Mary drove from Amity to Belleville at a speed of 50 mi/h. On the way back, she drove at 60 mi/h.…

A:

Q: Antonia rows a boat downstream for 81 miles. The return trip upstream took 18 hours longer. If the…

A: Given:     Downstream = 81 miles     Upstream = 18 hour longer    Current flow = 3 mph

Q: Mike leaves his house traveling 2 miles per hour. Joy leaves 6 hours later to catch up with him…

A:

Q: the diameter of one sphere is three times that of another .what is the ratio of their areas and…

A:

Q: The president of a company traveled 745 mi by jet and 115 mi on a prop plane. The rate of the jet…

A:

Q: Two cars leave an intersection .One car travels North the other East. when the car traveling north…

A: Two cars leave an intersection. One car travels North the other East. When the car traveling north…

Q: Victoria jogs 12 miles to the park along a flat trail and then returns jogging on a 20 mile hilly…

A:

Q: The speed of the current in a river is 6 mph. A ferry operator who works that part of the river is…

A:

Q: Eric takes 4 minutes to run around the school track. Andy can run around the track in 6 minutes. If…

A:

Q: Darren drives to school in rush hour traffic and averages 35 mph. He returns home in mid-afternoon…

A: Let  the distance between his home and school is x miles.

Q: A car travel 325 miles on 20 gallons of gas at this rate, how far could the car travel on 12 gallons…

A:

Q: Cindy leaves Toronto for Thunder Bay at a steady speed of 100km/h. Two hours later, her brother Bob…

A: It is given that, Cindy travel at the steady speed of 100km/h from Toronto to Thunder Bay and two…

Q: A tortoise is walking in the desert. It walks for 7.5 meters at a speed of 3 meters per minute. For…

A: Given:A tortoise is walking in the desert. It walks for 7.5 meters at a speed of 3 meters per…

Q: fills a hot tub at a rate of 3.15 gallons per minute. How many hours wiill it take to fill a 288…

A: We will find the time taken to fill 288 gallon tub.

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

A:

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: An​ alligator's tail​ length, T, varies directly as its body​ length, B. An alligator with a body…

A: An​ alligator\'s tail​ length, T, varies directly as its body​ length, B can algebraically written…

Q: Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear…

A:

Q: Marissa started biking to the park traveling 9 mph, after some time the bike got a flat so Marissa…

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.