Pretap puri rowed 22 miles down a river in 2 hours, but the return trip took him 5 in a half hour. Find the rate Prato can row in still water and find the rate of the current. Let x= rate pratap can row in still water and y= rate of the current. What is the rate that pratap rows in still water ?

Q: Lamont walks the 15 meters from the front door of his house to his car at a constant rate of speed.…

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Q: When a plane flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

A: When a plane flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

Q: A plane traveling with the wind travels 1100 miles in 5 hours. The return trip is against the wind…

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Q: Leni is standing at the shore and there is a ball 15 meters along the shore and 6 meters out in the…

A: Given query is to find the distance run by Leni in order to get the ball fastest.

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Q: David reads 40 pages of a book in 80 minutes. How many pages should he be able to read in 120…

A: It is unitary method.

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

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Q: A jet travels  1965  miles against a jetstream in  3  hours and  2505  miles with the…

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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: he amount of charcoal a coal burner burns varies directly as the time taken for cooking. If the…

A: Given that the burner burns 600 gram in 20 minutes, then our aim is to calculate how much time does…

Q: A plane flew 450 miles in 3 hours with the wind. It took 5 hours to travel to the same distance…

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Q: Train A leaves the station and travels east at 45 mph while Train B leaves the same station and…

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Q: A diver was 5 feet below sea level. He dove deeper at a rate of 5 3/8 feet per minute. What was the…

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Q: A motorboat traveling with the current went 140 mi in 5 h. Traveling against the current, it took 7…

A: To determine the speed of current and speed of boat.

Q: Jotaro is running west at 5 mph. Josuke is running north at 2 mph. After 2 hours how fast is the…

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Q: The heat loss of a glass window varies jointly as the window's area and the difference between the…

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Q: A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on…

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Q: Jane spent 2 hours exploring a mountain with a dirt bike. When she rode the 40 miles uphill, she…

A: Let,  x be the jane's speed along the summit. jane's speed when she rode uphill is  (x- 5)mph To…

Q: A small motorboat travels 16 mph in still water. It takes 7 hours longer to travel 43 miles going…

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Q: The cost of a train ticket varies directly as the number of miles, M, of the trip. A 400-mile trip…

A: The cost of 400 mile trip is $180 We have to calculate the cost of 360 mile trip.

Q: office

A: You need to just use the statement and form the integral.

Q: Ella's motorboat can travel 35mi/h in still water. If the boat can travel 6 miles downstream in the…

A: Given:-Speed of motorboat in still water                = 35mi/h

Q: ariel travels 400 miles in 8 hours what is her rate of change or speed

A:

Q: A rowing team rowed 100 miles while going with the current in the same amount of time as it took to…

A: Given, A rowing team rowed 100 miles while going with the current in the same amount of time as it…

Q: A snail moves at the speed of 2.39 inches per minute.if the snail keeps moving at this rate,how many…

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Q: Ana runs 3/4 mile in 6 minutes. Assuming she runs at a constant rate, what is her speed, in miles…

A: Ana runs 3/4 mile in 6 minutes. Assuming she runs at a constant rate, what is her speed, in miles…

Q: When a plane flies with the wind, it can travel 4200 miles in 6 hours. When the plane flies in the…

A: Given, Distance covered when flying with the wind is, d1=4200 miles Time taken is t1=6 hours…

Q: Joe drove a distance of 220 kilometers. For the first 2 hours, he drove on local roads. For the next…

A: Total distance Joe drove for :  220 kms Time of driving on local road : 2 hrs Time of driving on…

Q: Andrew filled 5 boxes in 35 minutes. paige worked for 75 minutes at a faster rate than Andrew.Select…

A: Aptitude based problem solved here.

Q: A motorboat travels 224 kilometers in 4 hours going upstream and 306 kilometers in 3 hours going…

A: Topic:- algebra

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Q: A motorboat takes 4 hours to travel 128 miles going upstream. The return trip takes 2 hours going…

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Q: A rowing team rowed 90 miles while going with the current in the same amount of time as it took to…

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Q: Two ships leave a dock at the same time, one sails northeast at the rate of 9 miles per hour and the…

A: Let A and B denote the first and second ship

Q: When a plane flies with the wind, it can travel 1600 kilometers in 2 hours. When the plane flies in…

A: Consider the average velocity of plane be v and average velocity of wind be w. When the plane is…

Q: When a plane flies with the wind, it can travel 1600 kilometers in 2 hours. When the plane flies in…

A: Given: When a plane flies with the wind, it can travel 1600 kilometers in 2 hours. When the plane…

Q: A motorboat takes 4 hours to travel 128 kilometers going upstream. The return trip takes 2 hours…

A:

Q: A motorboat takes 5 hours to travel 100 miles going upstream. The return trip takes 2 hours going…

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Q: 6520

A:

Q: Hagrid is 3 mi offshore in a boat transporting some first years to Hogwarts, whichis located 6 mi…

A: Let x is the distance from the point on the shortest nearest Hagrid’s boat to the landed point.…

Q: Jayda takes 4 hours to deliver 508 newspapers on her paper route. What is the rate per hour at which…

A: Rate is the measure that divide each observations happen per hour. Rate explains the number of times…

Q: Mr. Joy drove 60 miles from city A to the city B at 40 mph. He then drove back to City A at a higher…

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Q: A motorboat takes 3 hours to travel 108 miles going upstream. The return trip takes 2 hours going…

A: Let x be the speed of a motorboat in still water and y be the current rate.

Q: A boat man rows to a place 50 miles distant and back in 18 hours back, find that he can row 3 miles…

A: The rate of the stream = 1/2 ( a-b ) miles / hour where a is the speed downstream and b is the speed…

Q: A cyclist traveled 8 kilometers per hour faster than an in-line skater. In the time it took the…

A: Given :Given :Skater travels = 55 km Cyclist travels = 99 kmtime=distancespeed

Q: When a small plane flies with the wind, it can travel 800 miles in 5 hours. When the plane flies in…

A: Assume x be the speed of the plane when travelling in still air and y be the speed of wind. When the…

Q: A paddleboat on the Mississippi River travels 48 miles downstream, with the current, in 3 hours. The…

A: distance travelled = 48 miles time (downstream) = 3 hours time (upstream) = 4 hours

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.