vian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart, how fast in mile per hour is each traveling?

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

A:

Q: One crew can seal a parking lot in 8 hours and another in 12 hours. How long will it take to seal…

A: Given :One crew can seal a parking lot in 8 hours another in 12 hours

Q: Kimberlé and Francesca both leave the internet cafe at the same time, but in opposite directions. If…

A: We have to calculate Kimberle's speed and Francesca's speed

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: two trains leave the station at the same time, one heading west and the other east. the westbound…

A: we need to find time taken to reach a 532 miles     distance…

Q: The product of the current ages of Vanessa children is 360. If her oldest child is twice as old as…

A: Suppose, Vanessa has 2 children, whose ages are 2x, x such that: x < 2x  Given: x•2x = 360  So,…

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

A: Work done

Q: One pump can drain a pond in 22 hr. Working with a second pump, the two pumps together can drain the…

A: Let x be the time it takes for the second pump to drain the pound alone.  The conditions of the…

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: A train leaves Little Rock, Arkansas, and travels north at 75 kilometers per hour. Another train…

A:

Q: The number of aluminum cans used each year varies directly as the number of people using the cans.…

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: Two trains leave two different cities 1,029 miles apart and head directlytoward each other on…

A: Let it will take x hours for them to pass.  The first train has speed= 45 miles per hour.  So in x…

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

A:

Q: One hose can fill a small swimming pool in 60 minutes. A larger hose can fill the pool in 40…

A: First hose can fill a small swimming pool in 60 minutes. So, in 1 minute first hose can fill 160…

Q: a boat travels 150 mile upstream in 10 hours, and the return trip downstream takes 6 hours.  find…

A: Let x be the speed of the boat in still water and let y be the speed of the current.Then,Speed…

Q: Two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They…

A:

Q: Two trains leave the same city at the same time, one going east and theother going west. If one…

A: It is given that, two trains leave the same city at the same time. And one of them is going east and…

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: A ship that is in danger of sinking radios the Coast Guard for assistance. When the rescue  craft…

A:

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

A:

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

A:

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

A:

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

A:

Q: A car went 372 miles in 6 hours, traveling part of the time at 55 miles per hour and the rest of the…

A: Given:  In the first travelling part of the   time at 55…

Q: A swimming pool can be filled in 11 hours if water enters through a pipe alone, or in 21 hours if…

A: Given:- A swimming pool can be filled in 11 hours if water enters through a pipe alone, or in 21…

Q: Joni left St. Louis on the interstate, driving west towards Denver at a speed of 65 miles per hour.…

A: Formula used -  Speed x time = distance

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: The fast freight made the trip in 8 hours and the slow freight made the trip in 10 hours. How many…

A:

Q: John can wash cars 3 times as fast as his son Erick. Working together, they need to wash 30 cars in…

A: Let n be the number of cars Erick can wash per hour, then John washes 3n cars per hour.

Q: Doug went to a conference in a city 120 km away. On the way back, due to road construction, he had…

A: This question is about revenue and distance applications of quadratic equations.

Q: On a 300-mile trip to Chicago, Josh drove part of the time at 60 mph and the remainder of the trip…

A:

Q: two mechanics; Bonita Rich and Pamela Pearson, take 8 hours to rebuild an engine when they work…

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: An airplane averages 150 mph. If a trip from Atlanta to Charleston takes 2 hours 48 minutes going…

A: Given  Speed of airplane=150 mph Time taken by airplane against wind t1=2.8 hours Time taken by…

Q: Ellen can wash her car in 60 minutes. Her older sister Sarah can do the same job in 45 minutes. How…

A: Given, Ellen can wash her car in 60 minutes. Her older sister Sarah can do the same job in 45…

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

A:

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

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: 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: Arthur can do a job in 30 minutes, Bonnie can do it in 40, and Clair can do it in 60 minutes. How…

A: let x be the time required in working together. Explanation of the answer is as follows

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: Quinn can refinish hardwood floors four times as fast as Jack. They have to refinish 100 square feet…

A:

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

A: We find the speed of Tiffany and Melissa.

Q: A trucker drove 144 miles to make a delivery and returned home on the same route. Because of foggy…

A:

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.