Two hikers are 15 miles apart and walking toward each other. They meet in 2 hours. Find the rate of each hiker if one hiker walks 2.9 mph faster than the other. What is the speed of the slower hiker?

Q: The sum of the ages of Sarpong and Quartey is 50 years. In five years time, the age of Quartey will…

A: Explanation and solutions is given below....

Q: A plane can fly 1190 miles in the same time as it takes a car to go 280 miles. If the car travels…

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Q: If the speed limit is 65 miles per hour and a​ person's trip takes 2 hours at that​ speed, how much…

A: Speed of a person=65 miles per hour Time taken by a person to complete trip=2 hours We know that,…

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A: We have to  find the length of each pieces.

Q: The selling price for a classic speedboat is $20,000. What was the speedboat's original price if it…

A: Find the original selling price of speedboat

Q: The product of 2 consecutive integers is 10 less than 5 times their sum. Find both integers.

A: Let two consecutive numbers are x and x+1

Q: Two-fifths of the sum of a number and  17 is equal to   6  times the number decreased by 10, find…

A:

Q: What is the time needed to travel a distance of  10x2 + 3x − 4  miles if the rate is  5x + 4 mph?

A: Please refer the attached image for complete solution.

Q: If you drive for 3 hours and travel 165 miles, what is your rate?

A:

Q: Two hikers are 11 miles apart and walking toward each other. They meet in 2 hours. Find the rate of…

A: Distance between 2 hikers:= 11 miles;           Difference of their speeds:= 1.1 mph;

Q: A sum of $700 is to be used to give seven cash prizes to students of a school for their overall…

A:

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: A plane can fly 1520 miles in the same time as it takes a car to go 480 miles. If the car travels…

A: Relationship Between Speed, Time & Distance   Speed is directly Proportional to Distance and…

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

A:

Q: Find the value of two numbers if their sum is 12 and their difference is 4

A: Hi we are supposed to do only one question at a time. Kindly repost the other question again.. Given…

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: The sum of the ages of a china plate and a glass plate is 16 years. Four years ago the china plate…

A:

Q: The sum of Clyde and Wendy’s age is 64. In four years, Wendy will be threetimes as old as Clyde. How…

A: To find the age of Clyde and Wendy.

Q: Maxine and Sammie also have to mow their parking strips that are the same size. Maxine can mow her…

A: Given: Maxine and Sammie have to mow their parking strips that are the same size. Maxine can mow her…

Q: Two trains are 324 miles apart, and their speeds differ by 16 mph. Find the speed of each train if…

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

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Q: Two hikers are 14 miles apart and walking toward each other. They meet in 2 hours. Find the rate of…

A:

Q: Two trains leave town 905 miles apart at the same time and travel toward each other. One train…

A: Given: Two trains leave town 905 miles apart at the same time and travel toward each other. One…

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: If they meet in 3 hours, what is the rate of each train

A:

Q: minutes

A: Speed of Jill jog = 2miles/15 minutes

Q: If you can do your homework at a rate of 3.3 minutes for every problem, how many problems could be…

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Q: A 23­inch piece of string is to be cut into two pieces so that the length of the longer piece is…

A: Given: A 23­ inch piece of string is to be cut into two pieces so that the length of the longer…

Q: Two trains leave towns 835 miles apart at the same time and travel toward each other. One train…

A:

Q: Two trains are 448 miles apart, and their speeds differ by 24 mph. Find the speed of each train if…

A:

Q: Two hikers are 14 miles apart and walking toward each other. They meet in 2 hours. Find the rate…

A: Let x=rate of one hikerthen 1.8x is the rate of another hiker14=2*(x+1.8x)=5.6x

Q: A plane can fly 850 miles in the same time as it takes a car to go 300 miles. If the car travels 110…

A: Explanation of the answer is as follows

Q: slower

A:

Q: The cost of a big tub dog treats is two times that of a small one plus 3 dollars. if a big tub of…

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Q: Two automobiles are 276 miles apart and start at the same time to traveltoward each other. They…

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Q: Two hikers, Sonia and Tony, leave the same point at the same time. Sonia walks due east at the rate…

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Q: Malia can lay a slab of concrete in 3 hours. With the help of Alex, they can do it in 2 hours. If…

A: Given that: The work done by  Malia in laying  a slab concreate i=  3 hours   The amount of work…

Q: What is the time needed to travel a distance of  12x2 + 17x − 5 miles if the rate is 3x + 5 mph?

A: Here I am attaching image so that you understand each and every step.

Q: While traveling to and from a certain destination, you realized increasing your speed by 50 mph…

A: Let x =returning speed x-50=forward speed Distance covered during forward trip and return trip is…

Q: A classic painting is now selling for $500 less than three times its original price. If the selling…

A:

Q: Gemma recently rode her bicycle to visit her friend who lives 12 miles away. On her way there, her…

A: Explanation of the answer is as follows

Q: A plane can fly 560 miles in the same time as it takes a car to go 120 miles. If the car travels 110…

A: Consider the speed of the plane is given by x mph. Consider the speed of car is given as y mph. The…

Q: The dosage of a certain medication is 5 ounces for every 150 pounds of body weight. At this rate how…

A: PROBLEM SET-1: 1. Given that,     The dosage of certain medication is 5 ounces for every 150 pounds…

Q: A plane can fly 750 miles in the same time as it takes a car to go 150 miles. If the car travels 120…

A: Given that a plane can fly 750 miles in the same time as it takes a car to go 150 miles

Q: What is the time needed to travel a distance of  20x2 + 7x − 3 miles if the rate is 5x + 3 mph? hr

A:

Q: Kevin can mow his grandfather's lawn in 4 hours, while his younger cousin Patrick can mow the lawn…

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Q: The lifespan of a hamster is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times…

A: Let the lifespan of a hamster x, the lifespan of a giraffe y and the lifespan of a tiger is z.

Q: The time taken by an airplane to travel from New York City to Los Angeles is 30 minutes more than…

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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…

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.