Two cyclists leave a city at the same time, one goingeast and the other going west. The westbound cyclist bikes5 mph faster than the eastbound cyclist. After 6 hours theyare 246 miles apart. How fast is each cyclist riding?

Q: Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The…

A: Given that out of two sibling the older sibling , the older sibling can  run at a constant speed of…

Q: a tailwind, an aircraft travels 180 miles in 45 minutes. If the wind speed remains constant, with a…

A: Let's assume  the speed of wind = w the speed of aircraft without any wind = a Speed of the aircraft…

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: A pickup truck and Lamborghini enter a highway running east-west at the same exit heading in…

A:

Q: Each day, Ed walks past a rectangular athletic field on his way home from school. If the field is…

A:

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

A: Work done

Q: It takes Tristan 140 minutes to paint a room, working at a steady pace. It takes Maryia 80 minutes…

A: First, we need to determine how much of the room each person can paint in one minute. This is their…

Q: A new machine makes 5000 aluminum cans three times faster than an older machine. With both machines…

A:

Q: 150

A: it is given that the number of subscribers in any given month say'm' will be s=150 (2(1m/6)) so…

Q: Two trains left a station on at the same time. One traveled north at a certain speed and the other…

A: Let's find speed of both train.

Q: Charlie and Violet met for lunch at a restaurant between Memphis and New Orleans. Charlie had left…

A: Given: Charlie and Violet met for lunch at a restaurant between Memphis and New Orleans. Charlie had…

Q: Car A travels at an average speed of 65 miles per hour. Car B travels at an average speed of 55…

A:

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: A boat travels at a constant speed on a river whose current also has a constant speed. The boat can…

A: Let the speed of boat be  X and speed of current be Y.

Q: Morgan and Sass were visiting a friend in Chicago. Morgan has to leave at noon, but Sass did not…

A: We will find out the total time Morgan drove.

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: Gabriel drives 40 miles at a certain speed. Hitting serious traffic, he is forced to drive at a…

A: Suppose Gabriel drives 40 miles at the speed of x mph. And his speed after hitting the traffic for…

Q: A cyclist takes 4 hours to travel from Town A to Town B. The cyclist's average speed for the first…

A:

Q: A cyclist takes half the cyclist's average speed for the second hour, and the cyclist's average…

A: A cyclist take 4 hours to travel from town A to town B.  Let the cyclist's speed in first hour be x.

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

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.