A man walks at the rate of 4 miles per hour. How far can he walk into thecountry and ride back on a trolley that travels at the rate of 20 miles per hour,if he must be back home 3 hours from the time he started?

Q: If Jill jogs 2 miles in 15 minutes, how long will it take her (to the nearest minute) to jog 9 miles…

A: Given, Jill jogs 2 miles in 15 minutes  We have to find in how minutes she will take to jog 9 miles…

Q: A fast train takes 3 hours less than a slow train for a journey of 600 km. If the speed of the slow…

A: Given that A fast train takes 3 hours less than a slow train for a journey of 600kms The speed of a…

Q: There is a new food delivery company that charges $6 to deliver 4 meals and $10 to deliver 12 meals.…

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Q: Last month Albert earned half of what Betty earned, while Betty earned $5000 more than what Calvin…

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

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Q: A small pipe can fill a tank in 8 minutes more time than it takes a larger pipe to fill the same…

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Q: Daniel has one-peso coins in the left and right pockets of his pants. If he transfers one coin from…

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Q: A 30 inch rope is cut into two pieces. One piece is twice the length of the other piece. How long is…

A: Let the length of the shorter rope be x  Then the length of the larger rope becomes 2x As the total…

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: 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: 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: The price of a dress is reduced by 40%. When the dress still does not sell, it is reduced by 40% of…

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Q: A man having ten hours at his disposal made an excursion, riding out at therate of 10 miles an hour…

A: Time taken is the ratio of distance covered and the average speed. t=d/v

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

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Q: There are 5,280 feet in a mile. If you have slowed down and are now traveling 40 feet per second and…

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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: the sum of the digits of two digit number is twelve. if the units digit is thirteen less than four…

A: Let x be units digit  and y be the tens digits therefore x+y=12 also x=4y-13 solve both the…

Q: After riding at a steady rate for 60 miles, a bicyclist had a flat tire and walked 8 miles to a…

A: Let the walking rate be x The cycling rate was 3 times faster than the walking rate. Therefore, The…

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

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

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Q: The current in the PadiWan river was only 3 miles per hour, so the flotilla could go 92 miles…

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Q: A car that originally cost $3,668 in 1955 is valued today at $62,125 if in excellent condition,…

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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: minutes

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

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 speedboat can travel at rate of 30 miles per hour. At this rate, what is the distance that the…

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Q: If you plan to drive between two cities that are 250 miles apart, and you expect to go about 55…

A: Given that, The distance between two cities =250 miles. The distance travelled in 1 hour =55 miles.…

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

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Q: If the third of the three consecutive integers are increased by 14, it is equal to twice the first,…

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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: Sam left his house heading east and his brother left two hours later heading west at a rate 5 mph…

A: Let Sam's speed be x . First we formulate and equation in x by using the given data an then solve…

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: the selling price for a classic speedboat is $10,000. what was the speedboat’s original price if it…

A: The selling price for a classic speedboat is $10,000. To determine the speedboat’s original price if…

Q: It takes 4 hours for a boater to travel 15 miles upstream and back. If the speed of the boat in…

A: It takes 4 hours for a boater to travel 15 miles upstream and back. If the speed of the boat in…

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

A: Consider the lifespan of hamster, giraffe and puma be h, g and p respectively. Lifespan of hamster…

Q: Two skiers begin skiing along a trail at the same time. The faster skier averages 15 miles per hour…

A: We know that S = DT, where S is speed, D is distance and T is time taken Hence T = DS

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

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Q: Two hikers are 15 miles apart and walking toward each other. They meet in 2 hours. Find the rate of…

A: Distance between two hikers which are at opposite ends of a journey and moving towards each other=15…

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: 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: 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: 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: An "up" escalator travels at 2.6 feet per second. If it takes you 11 times as long to run down the…

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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: Mr. Brown can wash his car in 15 minutes, while his son John takes twice as long to do the same job.…

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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.