Two bicyclists, 42 miles apart, begin riding towards each other along a long straight avenue. One cyclists travels 15 miles per hour and the other 27 miles per hour. At the same time Spot (a greyhound), starting at one cyclist, runs back and forth the two cyclists as the cycle toward each other. If Spot runs 38 miles per hour and turns instantly at each cyclist, how many miles has he run when the cyclists meet? a. 42 miles b. 15 miles c. 38 miles d. 27 miles

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A: Since the distance of each driver is not displayed. Let us assume their distances. Roger traveled =…

Q: Sarah and Jason had some money. After earning $20 each, Sarah had twice as much money as Jason, and…

A:

Q: Two cyclists leave a park and ride in opposite directions, one averaging 6 mph and the other 9 mph.…

A: Given, two cyclist rides in opposite directions, one average speed 6 mph and other average speed 9…

Q: hose can fill a swimming pool in 4 hours. Another hose needs 9 more hours to fill the pool than the…

A: Given query is to find the time taken by the hose to fill the pool together.

Q: f 30 pounds of tomatoes and 20 pounds of bananas cost ​$23 and 50 pounds of tomatoes and 40 pounds…

A: Given: If 30 pounds of tomatoes and 20 pounds of bananas cost ​$23 and 50 pounds of tomatoes and 40…

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

A:

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Q: The Harris family and the Lee family each used their sprinklers last summer. The Harris family's…

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Q: Two busses leave the terminal at the same time. The first bus drives north at 40 mph, and the second…

A: Speed of buses 40 mph and 30 mph after one half hour distance travel by bus  Distance = speed *…

Q: Two cars are traveling north along a highway. The first drives at 40 mph, and the second, which…

A: Let the second car will take x hours to catch the first car.    We will use the formula :  Distance…

Q: Freddy, Sammy, Willy, and Yolanda are farmers. Freddy and Sammy together have twice as many acres as…

A:

Q: Luke and Nora can peel 20 carrots in 6 min, working together. Luke can peel 5 carrots in 2 min,…

A: Luke peels 5 carrots in 2 minutes, so in 1 minute he will peel 52 carrots.

Q: Linh has obtained scores of 82, 75, and 71 on her midterm algebra exams. If the final exam counts…

A: Given:Link has obtained scores of 82 , 75  & 71 on her midterm algebra exams. If the final exams…

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A:

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Q: It took a crew 4 h 48 min to row 10.8 km upstream and back again. If the rate of flow of the stream…

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Q: Phyllis invested $9,000, a portion earning a simple interest rate of  3 1 2%  per year and the rest…

A:

Q: Two workers, Ava and Bob, working 9 hours made 243 parts. Ava makes 13 parts in 1 hour. a. Write two…

A:

Q: The Kansas city southern railway operates in 10 states and Mexico. Suppose two trains leave Neosho,…

A: Let the speed of the trains be x and (x+15), miles per hour. We now that distance traveled =speed…

Q: On a trip, a man noticed that his car averaged 22 km per liter of gasoline except for the days he…

A:

Q: A family has two cars. During one particular week, the first car consumed 20 gallons of gas and the…

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Q: Peggy and Alice each ordered and drank one large soda. Then they decided that they were still…

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Q: Mr.Akhilesh Bajpai while going from Lucknow to Jamshedpur covered half the distance by train at the…

A: Let the total distance be represented by 2d km. As the total distance is 2d km and the person…

Q: Frank drives his car 380 miles and has an average of a certain speed. if the average speed had been…

A: Distance,D1=380miles Distance,D2=399miles

Q: How long will it take an Amtrak passenger train to catch up to a freight train if their speeds are…

A: Solution:let x = 60 mph the speed of the Amtrak train  y = 45 mph the speed of the Freight traint =…

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Q: Two woodchucks, Buck and Huck, chuck a cord of wood in two hours working together. Buck can chuck a…

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Q: Darren drives to school in rush hour traffic and averages  33   mph . He returns home in…

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Q: f Chad does a job in 7 hours less time than Chloe, and they can do the job together in 12 hours, how…

A: Let  Chloe dose a job in x hours, and Chad dose a job in y hours If Chad does a job in 7 hours less…

Q: You plan to take a 1648 mile trip in your car, which averages 32 miles per gallon. How many gallons…

A: You plan to take a 1648 mile trip in your car, which averages 32 miles per gallon.

Q: their most recent 8 mile training run, Pepe averaged a speed of 1/2 mile in 4.5 minutes,  while…

A: Correct ans is 60 minutes. Explanation is as follows:

Q: Bessy has 6 times as much money as Bob, but when each earns $6, Bessy will have 3 times as much…

A: There are two person Bessy and Bob. Consider the amount of money initially that Bob has x (in…

Q: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at…

A:

Q: If the circulation for newspaper 1 is 384 thousand more than the circulation for newspaper 2, and…

A: Given:-Total circulation of two newspaper is 2154 thousand.Circulation of newspaper 1 is 384 more…

Q: passenger train

A:

Q: Determine when the cost of the two services will be the same amount, and what the price will be. One…

A: One cable television provider has $70 setup fee and charges $90 per month and another cable provider…

Q: Two sailboats, one averaging 20 miles per hour and the other 18 miles per hour, start at the same…

A: given,           speed of first boat(A) = 20 mileshour         speed of second boat (B)=18 mileshour…

Q: Two planes leave the same airport and travel in opposite directions. Their speeds are 150 miles per…

A: Given that two planes leave the same airport and travel in opposite direction. Their speeds are 150…

Q: Two runners, one averaging 8 miles per hour and the other 6 miles per hour, start at the same place…

A: Consider the given information. Make the table for the given information.   distance  rate…

Q: Malik owns a small snowplow company with three private plows. Malik operates one plow during…

A: Given: When Malik, Jake, and Manuel work together, they can plow the entire lot in 220 minutes.…

Q: A woman invests $35,000, part at 8% and the rest at 9 1 2% annual interest. If the 9 1 2%…

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Q: The U-Drive Rent-A-Truck company plans to spend $16 million on 310 new vehicles. Each commercial van…

A: Let number of vans = xnumber of small truck = y number of large truck = zSo, total number of…

Q: O. A car travels at 15 mph and a truck travels at 32 mph. The car needs two and a half hour more…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Oscar the ostrich travels 80 miles in 2 hours on land, how fast does he travel?   A. 41 mph B. 38…

A: Given query is to find the speed of Oscar.

Q: One brand of cleaner used to etch concrete is 25% acid. A stronger industrial-strength cleaner is…

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Q: In one class, homework is worth 25% of the final grade, each of 3 projects is worth 20%, and a final…

A: a) Homework is worth 25%  So, we have to find 25% of 88. (88*0.25)=22 Each project is worth 20% So,…

Q: yellow cab has a base fare of $ 3.50 per ride plus $ 0.20 for each 1/4 of mile ridden. If a yellow…

A: We can find the answer as below

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.