Jake drives a tractor from one town to another, a distance of 180 km. He drives 9 km/h faster on the return trip, cutting one hour off his retiring trip , how fast does he drive each way?

Q: To increase her endurance, a speed skater decides to include running as part of her workout. During…

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

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Q: Two trucks leave a warehouse at the same time. One travels due south at an average speed of 58 miles…

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Q: After riding at a steady speed for 40 miles, a bicyclist had a flat tire and walked 5 miles to a…

A: Given- After riding at a steady speed for 40 miles and walked 5 miles to a repair shop. The cycling…

Q: Ryan usually bikes at an average rate of 12 miles per hour mph how long does it take him to hike a…

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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: 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 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: 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: Khloe drove 204 miles in 4 hours if she continued at the same rate how long would it take to travel…

A: Given :- Khloe drove 204 miles in 4 hours  To find time taken to travel 765 miles.

Q: A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At…

A: In order to average 40 mph on a 20-mile trip, the time histotal trip must take is found by the…

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

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Q: Conner wants to drive from Tucson to the Grand Canyon, a distance of 338 miles. If he drives at a…

A: Please refer the attached image for complete solution.

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: During the first part of a trip, a canoeist covered 70 km at a certain speed. He then traveled 30 km…

A: According to the problem, we have

Q: Donald drove home from college traveling an average speed of 68.9 mph and drove back to the college…

A: Donald drove home from college traveling an average speed of 68.9 mph anddrove back to the college…

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

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Q: A salesman drives from Ajax to Barrington, a distance of 166 mi, at a steady speed. He then…

A: Let us suppose that the salesman was driving between Ajax and Barrington with speed s mi/hr.Then his…

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

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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: 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: a freight train leaves Austin at a speed of 60 km/h. Two hours later, an Amtrak train leaves Austin…

A: To determine the time when the two train will meet again.

Q: Heather went on a 36 mile trip to a soccer game. On the way back, due to road construction she had…

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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: Doug went to a conference in a city 120 km away. On the way back, due to road construction, he had…

A: This question is about revenue and distance applications of quadratic equations.

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: 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: 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: Rodrigo works on his project for 38 minutes every three hours. Michael works on his project for 32…

A: topic - rate of doing work

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: 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…

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Q: You are driving your car away from home on a road trip. After 4 hours, you are 178 miles away. If…

A: You are driving your car away from home on a road trip. After 4 hours, you are 178 miles away. If…

Q: Cesar drove home from college traveling an average speed of 64.2 mph and drove back to the college…

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Q: A high-speed train makes a 450 mile nonstop run between two major cities in hours. The train travels…

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Q: One morning, Justin drove 5 hours before stopping to eat lunch at Chick-fil-A. After lunch, he…

A: Let x = "how fast did he drive in the morning". Then his speed after lunch was (x+10)mph. The…

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: Tyrone leaves city A on a moped traveling toward city B at 18 miles per hour. At the same time, Tina…

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Q: Nicole went on a 180 mile trip to a soccer game. On the way back, due to road construction she had…

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Q: Dave takes 15 minutes longer than Kate does to make the 60-mile drive between two cities. Kate…

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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.