A tractor spends 5 days plowing x number of fields. How many days will it take to plow y number of fields at the same rate?

Q: A 5­foot piece of string is cut into two pieces. If one piece isx feet long, express the other…

A: Since a 5-foot string is cut into two pieces, therefore, the sum of the length of these two pieces…

Q: With 2.4 mil subscribers, a top- ranked magazine has 1140% more digital subscribers than a magazine…

A: Suppose, the magazine ranked third has x million subscribers Therefore, the top-ranked will have…

Q: A painter by himself can paint four rooms in 10 hours. If he hires a helper, they can do the same…

A:

Q: A toy maker finds that its cost C = 450 + 3.75x dollars to manufacture x toy trucks. If the budget…

A: Our Aim is to find the number of toy trucks can be made if the budget is $3600.Since, the cost…

Q: The length of a rectangular box is 8 inches longer than twice the width (x). The height is 9 inches.…

A:

Q: A cyclist rode the first 44​-mile portion of his workout at a constant speed. For the 32-mile…

A: Let s be the speed of the cyclist for the first 44 miles. Then(s-3) be the speed of the cyclist for…

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 railroad crew can replace 450 meters of rails in 3 days.   how many kilometers of rail can they…

A: Basic concept: The amount of work done in 'N' days = xThe amount of work done in '1' day    = x NThe…

Q: A 6 inch personal pizza has 580 calories, with 240 of those from fat. A 14 inch pizza is cut into 8…

A: First, find the area of 6 inch pizza. Area of 6 inch pizza=πr2=π62=36π squared inches. It is given…

Q: The number of days that a given number of bushels of corn will last when feeding cattle varies…

A:

Q: A homeowner estimates that it will take him 9 days to roof his house. A professional roofer…

A: Solution : According to the question ;             Let,   t = The amount of time to do the job…

Q: Courtney and Kurtis are planning to travel 60 km in a car by travelling at x kilometres per hour for…

A:

Q: An underground gasoline storage tank is leaking. The tank currently contains 600 gallons of gasoline…

A: Given Data: The quantity of gasoline in the tank is: q=600 gallons The rate of reduction of gasoline…

Q: One automobile starts out from a town at 8 a.m. and travels at an average speed rate of 60 mph. 2…

A: Let A be First automobile and B be second automobile

Q: A bus traveled on level road for 2 hours at an average speed 20 miles per hour faster than it…

A: Let the average speed on the level road is = x mph Total time on the level road is= 2 hours  So…

Q: Robert already has 15 dollars. Every hour, x, that he works at the bakery, he earns another 4…

A: NOTE: Refresh your page if you can't see any equations. . Robert already has 15 dollars so the…

Q: John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take…

A: John can mow the lawn in 3 hours.  So in 1 hour he can mow 1/3 of the lawn   Julie can mow the lawn…

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

A:

Q: Betty can mow a lawn in 40 minutes. Vanessa can mow the same lawn in 20 minutes. How long does it…

A: Solution :-

Q: In 4 weeks , Mark earns an average of $400 per week. If, after working another 2 weeks at a constant…

A:

Q: One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How…

A:

Q: A 12­foot board is to be divided into two pieces so that one piece is twice as long as the other. If…

A: Given: A 12 foot board is to be divided into two pieces so that one piece is twice as long as the…

Q: Carla can plant a garden in 3 hours and Charles can plant the same gardenin 4.5 hours. If they work…

A:

Q: Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long…

A: Sam raked 3 bags of leaves in 16 minutes

Q: sor working alone?

A: The postal worker (PW) takes 8 hours to do work alone. That means PW does (1/8) work in 1 hour Let's…

Q: office

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

Q: A dairy farm has two cows. Last month, cow A produced 250 gallons less than twice the amount of milk…

A: In this we have to find the milk produce by each cow.

Q: A man can seed a large field in 8 hours. His daughter can do the job in 6 hours. If she starts an…

A:

Q: Differentiate.

A: ddxxn=n xn-1

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: A bus traveled on level road for 2 hours at an average speed 20 miles per hour faster than it…

A:

Q: The population of the village is 5000. If in a year, the number of males were toincrease by 5% and…

A:

Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.

Q: While traveling to the office, Dolly drives her car at a speed of 60 kmph and then suddenly the car…

A: This is a question of kinetics, mathematical physics, and the application of Differential calculus.

Q: A college student takes the same number of credits each semester. She had 9 credits when she…

A: Given,          A college student takes the same number of credits each semester. She had 9 credits…

Q: If Jan can weed the garden in 2 hours and her husband can weed it in 1 hour and 30. Find how long it…

A:

Q: A pipe can fill a tank in 120 minutes while the drain valve can drain it in 150 minutes. If the…

A: Assume it takes t minutes to fill the tub. pipe can fill in 120 minutes drain valve can empty in 150…

Q: one pump can empty a swimmingpool in 4 hours whilea second pump can empty the same pool in 5 hours…

A:

Q: One printing machine can run the necessary copies for the daily circulation of a newspaper in 5…

A:

Q: If a company charges x dollars per item, it finds that i can sell 1400-4x of them. Each item costs…

A: selling price = x dollarsno, of item =1400-4xCost price   =$6 per item

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: The world famous mascot, Sammy the Seahawk, runs 3 times around a track of unknown length at a…

A: Let the length of the track be l.So the distance covered in three laps is 3l.And the time taken for…

Q: A company can manufacture xx hundred items for a total cost of C=500+900x-100x2. Find x if the total…

A: Given: total cost of C=500+900x-100x2. Find x if the total cost is $1,900. To find x .

Q: Lance produces 20 more than 4 times what Jacob can produce in one day. If Lance's total production…

A: Assume jacob's one day production be x. So, Lance one day production will be, 20+4x

Q: y varies directly as the fourth power

A:

Q: Gian can finish an accounting work in 8 hours, while Leo can finish the same work in 6 hours. After…

A:

Q: The time, t, required to complete a job varies inversely with the number of people, p, working on…

A: Let J is the job T is the time taken P is the number of workers employed for the job. As per problem…

Q: if kayla jogs 2 miles in 17 minutes, how long will it take her to jog 3 miles at the same rate?

A: Kayla covered 2 miles of distance in 17 minutes With the same rate, time taken by her to cover 3…

Q: A car leaves a town at 110 kilometers per hour. How long will it take a second car, travelling at…

A: Given, A car leaves a town at 110 kilometers per hour and a second car travelling at 125 kilometers…

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.