A boy rides away from home in an automobile at the rate of 28 miles an hour and walks back at the rate of 4 miles an hour. The round trip requires 2 hours. How far does he ride?

Q: If your car gets 32 miles per gallon, how much does it cost you to drive 30 miles when gasoline…

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Q: If your car gets 25 miles per gallon, how much does it cost to drive 430 miles when gasoline costs…

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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: It takes an HP LaserJet M451dw laser printer 16 minutes longer to complete an 840-page print job by…

A: It takes an HP LaserJet M451dw laser printer 16 minutes longer to complete an 840-page print job by…

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: At 45 miles per hour, a trip takes 4 hours. How long does the trip take at 60 miles per hour.

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Q: Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take…

A: We have to find

Q: A man having ten hours at his disposal made an excursion, riding out at therate of 10 miles an hour…

A: Time taken is the ratio of distance covered and the average speed. t=d/v

Q: Mike lives twice as far from school as Maria does. If the total distance that Mike and Maria travel…

A: Let the distance of Maria from the school is x, then the distance of Mike from the school is 2x.…

Q: After riding at a steady rate for 60 miles, a bicyclist had a flat tire and walked 8 miles to a…

A: Let the walking rate be x The cycling rate was 3 times faster than the walking rate. Therefore, The…

Q: A car traveling at 70 miles per hour traveled one hour Linder than a truck traveling at 60 miles per…

A: Form the linear equation in one variable and solve for the time t.

Q: Sarah jogs at an average rate of 2/15 mile per minute. At this rate, how many miles will she jog in…

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Q: Boris runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?

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Q: a boat travels 150 mile upstream in 10 hours, and the return trip downstream takes 6 hours.  find…

A: Let x be the speed of the boat in still water and let y be the speed of the current.Then,Speed…

Q: Two trains leave the same city at the same time, one going east and theother going west. If one…

A: It is given that, two trains leave the same city at the same time. And one of them is going east and…

Q: Rudy and Nelly both leave the park at the same time, but in opposite directions. If Nelly travels 5…

A: Rudy and Nelly both leave the park at the same time, but in opposite directions.If Nelly travels…

Q: A car travel at 15 mph and a truck travel at 32 mph. The car needs two and a half hours more than…

A: Distance=speed × time Let c = the time for the car and t = the time for the truck They travel the…

Q: Maxine and Sammie also have to mow their parking strips that are the same size. Maxine can mow her…

A: Given: Maxine and Sammie have to mow their parking strips that are the same size. Maxine can mow her…

Q: Two hikers are 14 miles apart and walking toward each other. They meet in 2 hours. Find the rate of…

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Q: The current in the PadiWan river was only 3 miles per hour, so the flotilla could go 92 miles…

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Q: Betty paints twice as fast as Dan. Working together, Dan and Betty can paint 2,400 square feet in 4…

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Q: A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it…

A: Suppose, the Average speed of the bus on the winding road was, x miles per hour  So, it's average…

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

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Q: Joni left St. Louis on the interstate, driving west towards Denver at a speed of 65 miles per hour.…

A: Formula used -  Speed x time = distance

Q: A woman making $3000 per month has her salary reduced by 20% because of sluggish sales. One year…

A: A woman making $3000 per month has her salary reduced by 20% because of sluggish sales. One year…

Q: The distance from PSU to the Space Needle in Seattle WA is 194 miles. How long would it take to…

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Q: Sarah left Minneapolis heading east on the interstate at a speed of 60mph. Her sister followed her…

A: Time of meet in the same direction is given by:

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: A hiker is told to carry 2 cups of water for every 10 minutes spent walking. The hiker plans to hike…

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Q: On a 300-mile trip to Chicago, Josh drove part of the time at 60 mph and the remainder of the trip…

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Q: A football player runs 80 yards in 25 seconds. If he maintains the same rate of speed, how far could…

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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: a bushel is equal to 8 gallons and a peck is equal to one-fourth of a bushel. if the price is $20…

A:

Q: A train leaves Little Rock , Arkansas, and travels north at 75 kilometers per hour. Another train…

A: One train travels north at 75 kilometers per hour. Another train travels south at 60 kilometers per…

Q: A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it…

A: Given:Time taken by bus on the level road=3 hoursTime taken by bus on the winding road=4 hoursEntire…

Q: Two cars leave town A at the same time and travel to town B, 480 miles away. The speed of the slower…

A: Given: Total distance = 480 miles    Let the speed of the fastest car(car A ) = x mph Then the speed…

Q: the selling price for a classic speedboat is $10,000. what was the speedboat’s original price if it…

A: The selling price for a classic speedboat is $10,000. To determine the speedboat’s original price if…

Q: The distance between two cities is roughly 446.0 miles. If a car gets 37.5 miles per gallon, and the…

A: To find the total cost of driving from one city to other 446 miles apart

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: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

A: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

Q: Two hikers are 15 miles apart and walking toward each other. They meet in 2 hours. Find the rate of…

A: Distance between two hikers which are at opposite ends of a journey and moving towards each other=15…

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: A trucker drove 175 miles to make a delivery and returned home on the same route. Because of foggy…

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

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Q: 2 inches tall burns at a rate  inch per hour. A larger candle that is 15 inches tall burns at a rate…

A: Given that  Small candle size = 12 inches tall small candle Burning rate =   inch per hour. Large…

Q: O. A car travels at 15 mph and a truck travels at 32 mph. The car needs two and a half hour more…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: If you travelled 54 km at a speed of 720 miles per minute how long did it take to travel

A: The formula of speed is S=dt, where d is the distance and t is the time. First convert the given…

Q: A bushel is equal to eight gallons and a peck is one-fourth of a bushel. If the price is $20 per…

A: Given: One bushel = 8 gallons   (i) One peck = 14 of a bushel.   (ii) Price for one peck = $20 To…

Q: A bus travels 180 miles in 3 hours, how far does the bus travel in hourly? How far can the bus go in…

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Q: Mr. Brown can wash his car in 15 minutes, while his son John takes twice as long to do the same job.…

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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.