Solving Rate Problems Answers

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Milla and Luka are 3 kilometers apart and walking toward each other. Milla's average speed is 5 kilometers per hour and Luka's is 4 kilometers per hour.

Question illustration
A
5t + 4t = 1
B
5t + 4t = 3
C
5t – 4t = 0
D
5t – 4t = 3
2
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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?

A
A table showing Rate in part per minute, Time in minutes, and Part of Sink Filled. The first row shows Cold and has 5, 2, and 10. The second row shows Hot, and has x, 2, and 2 x.
Option A
B
A table showing Rate in part per minute, Time in minutes, and Part of Sink Filled. The first row shows Cold and has 2, 5, and 10. The second row shows Hot, and has x, 5, and 5 x.
Option B
C
A table showing Rate in part per minute, Time in minutes, and Part of Sink Filled. The first row shows Cold and has StartFraction 1 Over 5 EndFraction, 2, and StartFraction 2 Over 5 EndFraction. The second row shows Hot, and has StartFraction 1 Over x EndFraction, 2, and StartFraction 2 Over x EndFraction
Option C
D
A table showing Rate in part per minute, Time in minutes, and Part of Sink Filled. The first row shows Cold and has StartFraction 1 Over 2 EndFraction, 5, and StartFraction 5 Over 2 EndFraction. The second row shows Hot, and has StartFraction 1 Over x EndFraction, 5, and StartFraction 5 Over x EndFraction
Option D
3

Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220 kilometers per hour. At the same time, Lian boards a train heading west on a parallel track at an average speed of 250 kilometers per hour. How far has Lian traveled when the two trains pass each other?

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A
470 kilometers
B
880 kilometers
C
940 kilometers
D
1,000 kilometers
4

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?

Question illustration
A
Rate (part/hour)
B
Time (hours)
C
Part of Fence Painted
D
Distance (meters)
5

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?

Question illustration
A
4r
B
StartFraction 4 Over 6 EndFraction.
Option B
C
6r
D
StartFraction 6 Over 4 EndFraction.
Option D
6

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?

A
+ 5r = 8
Option A
B
+ 5r = 1
Option B
C
5() = r
Option C
D
= 5r
Option D
7

Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them?

Question illustration
A
15 minutes
B
18 minutes
C
38 minutes
D
75 minutes
8

Mike and Jamal are 9 miles apart, and are planning to meet up. Mike is walking at an average speed of 3 miles per hour to meet Jamal. Jamal is driving at an average speed of 25 miles per hour to meet Mike.

Question illustration
A
25t – 3t = 0
B
25t – 3t = 9
C
25t + 3t = 1
D
25t + 3t = 9
9

A $1,800 loan must be repaid in equal monthly payments.

A
A = 5, B = 3; As the monthly payment increases, the number of months increases.
B
A = 6, B = 4; As the monthly payment increases, the number of months decreases.
C
A = 5, B = 4; As the monthly payment increases, the number of months stays the same.
D
A = 6, B = 3; As the monthly payment increases, the number of months increases.
10

If Judy completes a puzzle by herself, it takes her 3 hours. Working with Sal, it only takes them 2 hours.

Question illustration
A
r
B
3 – r
C
StartFraction 1 Over 3 EndFraction.
Option C
D
3

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Solving Rate Problems Answers — GA-Algebra…