Solving Rate Problems — Quiz Answers

The average rate of the first part of Yi’s walk on a park loop was 4 miles per hour. She then met up with a friend and the two walked the rest of the way at an average rate of 5 miles per hour. The entire 3-mile walk took Yi 42 minutes (0.7 hour). Which equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend? Rate (mi/h) Time (h) Distance (miles) Part 1 4 x 4 x Part 2 5 0 point 7 minus x 5 times open paren 0 point 7 minus x close paren

It would take Marco 6 hours to paint a fence by himself. It would take Jaylyn 5 hours to paint the same fence by herself. Marco is creating this table to help him determine how long it would take them to paint the fence together. Which heading should be written above the first column of numbers? ? Marco 1 sixth t 1 sixth t Jaylyn 1 fifth t 1 fifth t

Egon can complete a project in 7 hours. Tariq can complete the same project in 5 hours. Complete the table that can be used to determine the time it will take Egon and Tariq to finish the project if they start working together. Enter your answers in the boxes.

Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire two-part, 15 -mile race took him 1 point 1 2 5 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race?

Working together, Alex and Millie can file all the papers in the file cabinets in 4 hours. It would have taken Alex 6 hours to do the job alone. What is the missing value in the table that represents the part of the papers that Alex would file if Alex and Millie worked together? Rate (part/hour) Time (hours) Part of Papers Filed Alex ? Millie r 4 4 r

Jonas jogged up the hill at an average rate of 112 of a mile per minute and then walked down the hill at an average rate of 116 of a mile per minute. The round trip took him 42 minutes. What is the missing value in the table that represents the distance of the trip down the hill? Rate (mi/min) Time (min) Distance (mi) Up the Hill 1 twelfth x 1 twelfth x Down the Hill 1 sixteenth 42 minus x ?

It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool. Which equation can be used to determine r , the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone?

Elias participated in a charity bike race. On the first half of the race, he biked at an average rate of 8 miles per hour to the turnaround point. On the second half of the race, he biked along the same path and biked at an average rate of 12 miles per hour. The total biking time was 5 hours. Complete the equation that can be used to determine the time, t, Elias spent biking to reach the turnaround point and find the total distance of the race. Enter your answers in the boxes.

Irina rode her bike to work at an average speed of 16 miles per hour. It started to rain, so she got a ride home along the same route in her coworker’s car at an average speed of 27 miles per hour. If Irina’s ride home in the car took 24 minutes ( 0 point 4 of an hour), how many hours was her bike ride to work, to the nearest tenth of an hour?

It takes 5 minutes to fill the sink using only the cold water. If both the hot water and the cold water are turned on, it takes 2 minutes to fill the sink. Which is the correct table that can be used to determine x , the time in minutes it takes to fill the sink using only the hot water?