Matteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for the rest of the time. Matteo says that he ran 4.75 mi. Is he correct?

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

A:

Q: A fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he…

A:

Q: A family is planning their vacation to Disney World. They will drive from a small town outside New…

A: New Orleans, Louisiana, to Orlando, Florida, a distance of 700 miles.  Average a rate of 55 mph.…

Q: Allen runs 8 miles in 3 hours at a steady pace. How long does it take him to run 3 miles?

A: speed is calculated by the formula,

Q: Landon was taking a math test. He finished 5 of the test in of an hour. How much of the test will he…

A:

Q: bill can shovel the snow from the walk in 45 minutes. When Carol helps him, they can shovel th walk…

A:

Q: Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in…

A: Let speed of the plane to Los Angeles= x mphSo,  speed of the plane to New York City= (x+22) mph

Q: Kate wants to ride 10 miles on her bike. If she averages 1 mile in eight minutes, which is a…

A: Consider the provided question, Kate wants to ride 10 miles on her bike. She ride averages 1 mile in…

Q: Airport B is 400 miles from airpot A at N30E. A pilot accidently flies East 200 miles per hour for…

A: To find the destination after his error.

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: David is making an 60 km bicycle journey. He travels at 50km an hour for the first 30 minutes. How…

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Q: Lucy drives her boat upstream for 45 minutes. It takes her 30 minutes to return downstream. Her…

A:

Q: you run the first 2 miles of a 5 mile at a rate of 300 yards per minute. Then you run the last 3…

A:

Q: ITS YOUR TURN: Lito loves to travel. Two years ago, he went to Sagada and fell in love with that…

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: Erin can read 2 chapters of her book in 1.5 hours. If Erin's book has 33 chapters, how long will it…

A: Given that Erin can read 2 chapters of her book in 1.5 hours . If Erin's book has 33 chapters we…

Q: In preparation for the homecoming football game, members of the student body are painting the spirit…

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Q: Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h. Rob…

A:

Q: Haileys plane climbed 4,500 feet in 90 seconds.How fast did her plane climb every second?

A:

Q: X takes 3 hours more than Y to walk 30

A: let speed of X =x km/hr let speed of Y =y km/hr time taken by X to cover 30km=30/x hours time taken…

Q: Natasha drove from Bedingfield to Portsmouth at an average speed of 100 km/h to attend a job…

A: Given- Natasha drove from Bedingfield to Portsmouth at an average speed of 100 km/h to attend a job…

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

A:

Q: Michele goes on a hike that will last 5 hours total. She brings 8 cups of water. After 1 hour, she…

A: given, Michele goes on a hike that will last 5 hours total.number of cups of water she brought = 8…

Q: A woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs 2.5mi, for a…

A: Given:Let x be a running speedLet x+8  be a cycling speedTravel time=distancespeed

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

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Q: An accountant often eats lunch at a restaurant that is 3/8 mile from her office. She makes the walk…

A:

Q: Jones covered a distance of 50 miles on his first trip on a later trip he travelled 300 miles going…

A:

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: 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: Jake drives a tractor from one town to another, a distance of 180 km. He drives 9 km/h faster on the…

A: Let the speed for onward journey be x km/hrDistance travelled = 180 km

Q: Superman needs to save Lois from the clutches of Lex Luthor. It takes Superman 15 seconds to get to…

A: Rate: The rate is defined as a ratio with different units in the numerator and denominator. The…

Q: Jesse rode his bike for 2 hours at a constant rate. During the first 1.5 hours, he rode 15 miles.…

A: Given: speed is constant throughout. total time = 2 hours distance covered in first 1.5 hours = 15…

Q: To get to work, Santa jogs 3 km to the train and then rides the remaining 5 km. If the train goes 40…

A: Topic:- time and Speed

Q: An aircraft carrier left Hawaii traveling west seven hours before a container ship. The container…

A:

Q: On a recent trip, a trucker traveled 385 mi at a constant rate. Because of road conditions, the…

A: Given: The distance traveled with first speed is 385 mi and distance traveled with second speed is…

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

A:

Q: on a bike ride of 72 miles. He realized that if he ha uld have arrived 8 hours sooner. How fast did…

A:

Q: At a hot air balloon festival, Mohamed's balloon is at an altitude of 40 m and rises 10 m/min.…

A: Given that at a hot air balloon festival, Mohamed's balloon is at an altitude of 40 m and rises 10…

Q: Karina is 5 miles to the east of Franco, and she starts walking northward at 3 mph. After 30 mins,…

A: for simplicity consider Franco is steady and Karina move 3+4=7mph to North. distance between them is…

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: An airplane flies with a constant speed of 3а. 840 km/h. How long will it take to travel a distance…

A: In this question, concept of speed is used. Speed The rate at which an object travels a certain…

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: 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: Silvia rode her bicycle 40 km in the same time Tracy rode 28 km. Tracy's rate was 3 km/h slower than…

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

A:

Q: A cattle train left Miami and traveled toward New York . 14 hours later a diesel train left…

A: A cattle train left Miami and traveled toward New York . 14 hours later a diesel train left…

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

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.