Maria takes a boat upstream for 9 hours. Her return trip downstream only took 6 hours. If the river she is on has a current of 1 mile per hour, how fast does her boat move in still water?

Q: It took Ramon 7 hours to drive to a rock concert. On the way home, he was able to increase his…

A: It took Ramon 7 hours to drive to a rock concert. On the way home, he was able to increase his…

Q: Kimberlé and Francesca both leave the internet cafe at the same time, but in opposite directions. If…

A: We have to calculate Kimberle's speed and Francesca's speed

Q: A pipe can full the tub alone in 10 minutes time, another can do it in 20 minutes and drain if…

A: The first pipe can fill the tub in 10 minutes, Therefore, in one minute, the pipe can fill 110 of…

Q: With the wind, a plane flew 425 miles in the same time that it took to fly 375 miles against the…

A: Let x denote the speed of the plane. The speed of the plane with the wind is x +10 and the speed of…

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 Eric 9 hours to drive to a job interview. On the way home, he was able to increase his…

A: Case 1: Going for interview While going for the job, time, t1 = 9 hrs Let average speed, s1 = S…

Q: A cargo plane flew to the maintenance facility and back. It took one hour less time to get there…

A: time =distance speed

Q: Can I reach Pittsburgh, which is 612 miles away, if I drive for 7 and a half hours at a constant…

A: # as per the guidelines we are not entitled to give handwritten solutions Time of drive is 712hours…

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

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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: brandon walks 3 miles at a certain speed and then he jobs 3 moles per hour faster for 9 miles. If…

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Q: Travis flies his small airplane from Raleigh, NC to Abingdon, VA -- a distance of 257 miles. Because…

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Q: Two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They…

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Q: A boat traveled for 2 hours with an 8 mph current. The return trip against the same current took 3…

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Q: A ship that is in danger of sinking radios the Coast Guard for assistance. When the rescue  craft…

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

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

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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: vian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels…

A: Given data: Total Distance = 136 mile. Time taken to reach their ( vian and Noelle) respective…

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

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Q: Jane went on a 40 mile trip to a soccer game. On the way back, due to road construction she had to…

A: Distance to soccer is 40mile d=40  To the soccer game  Let v is velocity and t is time Way back from…

Q: Jack and Jill enter a 600 km scooter race. Jill drives 4 km/h faster than Jack, but her scooter gets…

A:

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: Tracy can lay a slab of concrete in 3 hours, with Jordan’s help they can do it in 2 hours. If Jordan…

A: Tracy can lay a slab of concrete in 3 hours, with Jordan’s help they can do it in 2 hours. If Jordan…

Q: The fast freight made the trip in 8 hours and the slow freight made the trip in 10 hours. How many…

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Q: Megan is taking the bus from New York City to Montreal. The distance is 380 miles and the bus…

A: Given that distance between the cites is 380 miles.Rate at which the bus travels is 76 miles per…

Q: John can wash cars 3 times as fast as his son Erick. Working together, they need to wash 30 cars in…

A: Let n be the number of cars Erick can wash per hour, then John washes 3n cars per hour.

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: 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: 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: Isaac drove at an average speed of 46 mph over six hours. During the first three hours he drove at a…

A: Let Issac drove x miles in the first three hours and drove y miles in the last three hours.…

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: Angelina was driving home from college at 75 mph. UT is about 375 miles from Lubbock where she…

A: Distance to be travelled=375 miles Average speed=75miles/hour Since,  time=distancespeed

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

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Q: Joann took 20 minutes to drive her boat upstream to waterski at her favorite spot. Coming back later…

A: This question can be solved using the concept of speed,time,distance and relative speed

Q: It takes 4 hours for a boater to travel 15 miles upstream and back. If the speed of the boat in…

A: It takes 4 hours for a boater to travel 15 miles upstream and back. If the speed of the boat in…

Q: A boy rides away from home in an automobile at the rate of 28 miles an hour and walks back at the…

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

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Q: ) A telecom company estimates that 5 people send 1,000 text messages in a month. How many text…

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Q: After adjusting the Number of Servings in a recipe, Charlotte determined that She will need 64 table…

A: Given data:- Required flour = 64 table spoons 1 cup = 16 table spoons

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: 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: A jeep drove 135 miles on a paved road at a constant speed. It then decreased its speed by 25 miles…

A: Let the speed of jeep on paved road be x. The distance traveled on paved road is 135 miles. The time…

Q: A truck moving continuously, averages 52.5 mph for 6.75 hr. how far does it travel during this time?

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Q: A pump boat travelled 80 kilometers in two hours with the wind, and 3 hours against the wind. What…

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Q: took Amari `2` hours to paint the first `14` feet of a `70`-foot-long fence.   At this rate, how…

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Q: A trucker drove 144 miles to make a delivery and returned home on the same route. Because of foggy…

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.