Formulate the following problem as a part of equations, and hence find theirsolution.Ray travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

4. Joey is a cab driver. For his first trip, he travels 8 miles and earns $10. For his second trip, he travels 11 miles and earns $13. For his third trip, he travels 19 miles and earns $21. Write an equation to represent his earnings if x represents miles and yrepresents earnings. A y = x + 2 y = x + 3 C y = x – 2 y = x – 3

Two cyclists, 72 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist? a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. b. What is the speed of the faster cyclist? mi/hr

Stella, Roberto and Candace are putting together small model kits. Stella can put a kit together in 45 minutes, while it takes Roberto 36 minutes. When all three of them work together, they can complete a kit in 12 minutes. Which equation can be used to calculate how long it will take Candace to put a kit together if she works alone? 1 1 1 O A. 1 45 36 12 O B. t +36 +t= 2 В. 45 36 36 O C. 45 + + 12 = } O D. 45 36 =D1 t hp 火

Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by $5. Assuming gasoline costs $4 per gallon, which equation can Alan use to determine how many fewer average miles, m, he should drive each week? 25 A. 4 -m=95 25 -m=5 B. 4 4 -m=95 C. 25 4 -m=5 D. 25

set up an equation, and solve the problem. Nasser rode his bicycle 66 miles in 4whole1/2 hours. For the first 40 miles he averaged a certain rate, and then for the last 26 miles he reduced his rate by 3 miles per hour. Find his rate for the last 26 miles.

Tim leaves his South Bend home to go to Nashville, TN, for work. Nashville is430 miles away from South Bend. After two hours of driving, he has to reduce his speed by20mph due to rain. If he takes one hour for lunch and gas, and reaches his destination ninehours after he left his home, find his initial speed. Round your final answer to the nearestwhole number. Set up an equation for this problem, clearly define your variables, no guessand check!

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 14 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Two satellites are orbiting Earth. The path of one satellite has the equation x2 + y2 = 56 250 000. The orbit of the other satellite is 200 km farther from the centre of Earth. In one orbit, how much farther does the second satellite travel than the first satellite?

Write a problem for each of the following equations. 12 – X = 3 12X = 60 3X + 2 = 11