After driving for 2.2 hours (2 hours and 12 mintues), Marcos' total distance traveled was 153 miles. At what constant speed (in miles per hour) will Marcos need to travel for the last 5 minutes of the trip so that he travels the 155 mile drive in 2 hours and 17 minutes?

Q: Kayla and Whitney both leave the bookstore at the same time, but in opposite directions. If Kayla…

A: Given problem:- Kayla and Whitney both leave the bookstore at the same time, but in opposite…

Q: A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place. With both…

A: To Determine: How long will it take for the tub to fill if both faucets are open and the stopper is…

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: Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a…

A:

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: On a 130 mi trip, a car traveled at an average speed of 55 mph and thenreduced its speed to 40 mph…

A: Let ‘t’ be the number of hours for 55 mph and (2.5 – t) hours for 40 mph.

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A:

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: A train leaves Little Rock, Arkansas, and travels north 55 kilometers per hour. Another train leaves…

A: Given, one train leaves Little rock, Arkansas and travels north 55 kilometers per hourAnother train…

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: 220 ft of fence are used to enclose a rectangular field as well as divide the field into two equal…

A: Let x and y be the length and width of a rectangle.

Q: Jack knows that if he would break his total trip into 6 parts, each part would be 350 miles. How far…

A: Each part of Jack's trip = 350

Q: If the temperature of the air is 300K and the substance cools from 360K to 330K in 10 minutes, find…

A: According to Newton's law of cooling, the rate of heat loss of a body is directly proportional to…

Q: Two trains leave stations 364 miles apart at the same time and travel toward each other. One train…

A: When the two trains meet each other,at that point the total distance covered by them will be the…

Q: A chemist wishes to make 100 liters of 3% acid solution by mixing a 2% solution with a 5% solution.…

A: Let amount of 2% solution be x and amount of 5% be y. As we know we have to make 100 liters of…

Q: A truck gets 600/x miles per gallon when driven at a constant speed of x mph, where 40 < x <…

A: It can go 600/x miles in 1 gallon. And cost  of 1 gallon is 2.80.So cost for (600/x) miles =…

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

A:

Q: A 20 LITER MILK CONTAINS 2%BUTTERFAT HOW MANY LITERS OF BUTTERFAT BE ADDED TO PRODUCE A MIXTURE…

A: 2% of 20 lts = 2100x20                      = 4/10                      = 0.4 lts

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

A:

Q: A rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is…

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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 rod 25 feet long is cut into two pieces such that one piece is 9 feet longer than twice the length…

A: Given: A 25 feet long rod cut into two pieces.

Q: Find the length and width of a rectangle whose perimeter is equal to 160 cm and its length is equal…

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Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. Enter the answer,…

A: We have to find out how many miles the space ship travelled.

Q: Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is…

A: Each bach of cookie mix needs 0.4 cups of sugar.  4 baches of cookie needs = 4 x 0.4 = 1.6

Q: A pool can be filled by one pipe in 6 hours and by a second pipe in 12 hours. How long will it take…

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Q: A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field…

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Q: One bag of potting soil contains 8 quarts of soil. How many clay pots can be filled from one bag of…

A: We have to find that how many clay pots can be filled from one bag of potting soil. Given - 1 bag of…

Q: Find how many quarts of 6% butterfat milk and 3% butterfat milk should be mixed to yield 45 quarts…

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Q: A tank contains 8000 liters of a solution that is 40% acid. How much water should be added to make a…

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Q: A bicycle and a bicycle helmet cost $240. How much did each cost, if thebicycle cost 5 times as much…

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Q: Find how many quarts of 6% butterfat milk and 3% butterfat milk should be mixed to yield 60 quarts…

A:

Q: An elevator at a construction site has a maximum capacity of 2800 pounds. If the elevator operator…

A: The elevator has a maximum capacity of 2800 pounds. The weight of the elevator operator is 265…

Q: The length of your storage crate is 2 meters greater than its Width, and its height is 1 meter…

A: Given that: Length of storage crate = 2m greater than widthHeight of storage of crate = 1m greater…

Q: Autumn and Erica are 279 miles apart, traveling towards each other. If Erica travels 19 mph and…

A: We solve the problem by following method.

Q: An elevator at a construction site has a maximum capacity of 3000 pounds. If the elevator operator…

A: The elevator has a maximum capacity of 3000 pounds. The weight of the elevator operator is 245…

Q: To get to work, Santa jogs 3 km to the train and then rides the remaining 5 km. If the train goes 40…

A: Topic:- time and Speed

Q: Nedra and Latonya Dominguez are 12 miles apart hiking toward each other. How long will it take them…

A:

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

A:

Q: Two buses leave Phoenix at the same time traveling in opposite directions. One bus travels at 57⁢mph…

A: Given,           Two buses leave Phoenix at the same time traveling in opposite directions. One bus…

Q: If a train travels 372 miles In 4 hours with a constant speed, how far did the train travel in one…

A: The Formula for velocity is  Velocity(speed):- (Distance)/(Time) Here Train travels 372 miles which…

Q: A ribbon 56 centimeters long is cut into two pieces. One of the pieces is three times longer than…

A: Given:A ribbon 56 cm long is cut into two pieces.one of the pieces is three times longer thanthe…

Q: An airplane averages 130 mph. If a trip from Atlanta to Charleston takes 2 hours going against the…

A: let's assume speed of airplane is u, speed of wind is v and total distance covered is 2d miles we…

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 average yearly salary of a construction worker is $11 thousand less than three times that of a…

A: Consider "x" is the average yearly salary of a construction worker and "y" is the average yearly…

Q: Tim and Tom were able to reupholster furniture in four hours together. It takes Tom eleven hours to…

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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: Maria can weed 1000 m2 of cogonal farm surface in 40 hours, while her brother, Bryant, can do the…

A: Let x represents the time that they are work together, the mathematical expression for the time is…

Q: Two welders worked a total of 51 h on a project. One welder made $31/h, while the other made $34/h.…

A:

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…

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.