Bob and Fred start from the same point and walk in opposite directions. Bob walks 2 miles per hour faster than Fred. After 3 hours they are 30 miles apart. How fast did each walk?

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 painter can do his job in 6 hours, while his helper can do the same job in 9 hours. After the…

A: Given- A painter can do his job in 6 hours, while his helper can do the same job in 9 hours. After…

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: Conner is 156 miles away from Brayden. They are traveling towards each other. If Brayden travels 9…

A:

Q: Sally can paint a room in 7 hours while it takes Steve 9 hours to paint the same room. How long…

A: Given that sally can paint a house in 7 hours. This implies that sally’s work is 1/7.Steve can paint…

Q: Tanya, who is a long-distance runner, runs at an average speed of 8 miles per hour (mi/h). Two hours…

A: Let: t = Honda's travel timethen(t+2) = Runner's travel time Honda's dist = runner's dist…

Q: Sam and Cat both drive cars starting from the same point. Sam drives north and travels 20 miles in…

A:

Q: Chloe can stuff envelopes twice as fast as her coworker Walter. Working together, Walter and Chloe…

A: Work done

Q: Leeson can proofread a newspaper copy in 4 hours. If Ryan proofreads the same newspaper copy, it…

A:

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: Two trains are 500 miles apart, and their speeds differ by 10 mph. They travel toward each other and…

A: Let the speed of one train be x and the speed of the second train be x + 10.

Q: Phineas can build a rocket in 7 hours while Ferb can do the same work in 14 hrs. If they work…

A: Given, Phineas can build a rocket in 7 hours, Ferb can do the same work in 14 hrs.  They together…

Q: Mark can overhaul a engine in 30 hours, and Phil can do the same work by himself in 20 hours. If…

A: Time taken by Mark to overhaul an engine=30 hours Time taken by Phil to do same work=20 hours…

Q: Two automobiles going in opposite directions leave at the same time . One automobile travels 20 mph…

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

A:

Q: Rudy and Nelly both leave the park at the same time, but in opposite directions. If Nelly travels 5…

A: Rudy and Nelly both leave the park at the same time, but in opposite directions.If Nelly travels…

Q: One pipe can fill the tank in 20 minutes while a second pipe can fill the same tank in 35 minutes.…

A: Here we will find the time required to fill the tank,

Q: A train travelsa distance of 300 km at constant speed.If the speed of the trainis increased by 5km…

A:

Q: Sally can paint a room in 8 hours while it takes Steve 6 hours to paint the same room. How long…

A:

Q: A salesman drives from Ajax to Barrington, a distance of 166 mi, at a steady speed. He then…

A: Let us suppose that the salesman was driving between Ajax and Barrington with speed s mi/hr.Then his…

Q: For a set amount of time, the distance Kirk can run is directly related to his average speed. If…

A:

Q: Betty paints twice as fast as Dan. Working together, Dan and Betty can paint 2,400 square feet in 4…

A:

Q: Sally can paint a room in 8 hours while it takes Steve 7 hours to paint the same room. How long…

A:

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: 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 =…

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

A:

Q: A car travels for 2 hours at an average speed of 55 miles per hour, then travels for 30 minutes at…

A: The formula for average speed is given by, Average speed= Total distanceTotal time That implies,…

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: Stan and Hilda can mow the lawn in 40 minutes if they work together. If Hilda works twice as fast as…

A:

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

A:

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: If Jill jogs 2 miles in 15 minutes, how long will it take her (to the nearest minute) to jog 7 miles…

A: Given if Jill jogs 2 miles in 15 minutes. To find: Time required to jog 7 miles at same rate.…

Q: passenger train

A:

Q: Two cyclists leave a city at the same time, one goingeast and the other going west. The westbound…

A: Given: Two cyclists leave a city at the same time, one goingeast and the other going west.

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: George can complete a project in 75 minutes, and if George and Walter both work on the project, they…

A: It is given that George can complete a project in 75 minutes. So, the George's rate of completion is…

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: 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: Elena and Jada are 12 miles apart on a path when they start moving toward each other. Elena runs at…

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: It takes an older computer 3 times as long to send out a company's email as it does a newer…

A: Let the time taken by the newer computer to send the mail = x min  the newer computer rate = 1x…

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

A:

Q: The sum of 2 times a number and twice its reciprocal is . Find the number(s).

A: To Determine: find the number  Given:  the sum of 2 times a number and twice its reciprocal is 203.…

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…

Q: Jaime and Jason are 168 miles apart, traveling towards each other. If Jason travels 15 mph and Jaime…

A:

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.