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: 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: Keiko bicycles 5 km/h faster than Praedup. In the same time it takes Praedup to bicycle 42km, keiko…

A: Given,          Keiko bicycles 5 km/h faster than Praedup. In the same time it takes Praedup to…

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: An experienced accountant can balance the books twice as fast as a new accountant. Working together…

A:

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

A:

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

A: Work done

Q: ex commutes every day from home to school. Most of this drive is on the freeway. One day when he got…

A: Speed = distance travelled/time Let the first speed of Alex =xmiles/hour After hitting traffic he…

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: 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: One pump fills a tank 4 times as fast as another pump. If the pumps work together, they fill the…

A: Let V ; volume of tank to be filled and T time taken by faster pump (in minutes)

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

A:

Q: Two cousins Diamond and Jasmine are training to race in the Crim race. The two girls are traveling…

A: Let it will take x hours for Jasmine to reach Diamond. The speed of Diamond is 12 mph. So, in x…

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: it takes johnny and his dad 5 hours to wash the family car. kate, johnny's sister, can wash the car…

A:

Q: he number of days it takes a theater crew to set up a stage for a musical varies inversely as the…

A: The number of days it takes a theater crew to set up a stage for a musical varies inversely as the…

Q: The number of streetlights in a  town is growing linearly. 10 months there were 70 lights. Now there…

A: increase of lights in 10 months = 470-70=400

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: Painters Ali and Jason, working together, can paint a house in 12 hours. If Jason works twice as…

A:

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…

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.