Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 9.4 Rates will engage students and is a great way of informal assessment.
McGraw-Hill Math Grade 6 Answer Key Lesson 9.4 Rates
Exercises Solve
Question 1.
Bob eats 6 apples in 2 days. How many days will it take for him to eat a basket of apples containing 51 apples?
Answer:
Number of days he can eats 51 apples = 17.
Explanation:
Number of apples Bob eats = 6.
Number of days = 2.
Number of apples he eats in a day = Number of apples Bob eats ÷ Number of days
= 6 ÷ 2
= 3.
Number of days he can eats 51 apples = 51 ÷ Number of apples he eats in a day
= 51 ÷ 3
= 17.
Question 2.
Fay travels 56 kilometers in 8 hours. How many kilometers will she travel in a day?
Answer:
Number of kilometers she travels in a day = 7.
Explanation:
Number of kilometers Fay travels = 56.
Number of hours = 8.
Number of kilometers she travels in a day = Number of kilometers Fay travels ÷ Number of hours
= 56 ÷ 8
= 7.
Question 3.
Bob can paint the lines in the middle of the road at a rate of 18 miles in a 9-hour work day. How many miles can he paint on Saturday when he works 5 hours?
Answer:
Number of miles he can paint on Saturday when he works 5 hours = 10.
Explanation:
Number of miles Bob can paint the lines in the middle of the road = 18.
Number of hours work per day = 9.
Number of Miles per hour he works = Number of miles Bob can paint the lines in the middle of the road ÷ Number of hours work per day
= 18 ÷ 9
= 2.
Number of miles he can paint on Saturday when he works 5 hours = Number of Miles per hour he works × 5
= 2 × 5
= 10.
Question 4.
In the first 3 hours of a concert, 2,100 people passed through the gates. How long will it take to fill a concert hall that has 2,800 seats?
Answer:
Number of hours it takes to fill a concert hall that has 2,800 seats = 4.
Explanation:
Number of hours = 3.
Number of people passed through the gates = 2,100.
Number of people passed in an hour = Number of people passed through the gates ÷ Number of hours
= 2,100 ÷ 3
= 700.
Number of hours it takes to fill a concert hall that has 2,800 seats = 2,800 ÷ Number of people passed in an hour
= 2800 ÷ 700
= 4.
Question 5.
5 horses can plow 20 acres of land in an hour. How many acres can 21 horses plow in an hour?
Answer:
Number of acres of land in an hour 21 horses can plow = 84.
Explanation:
Number of horses = 5.
Number of acres of land in an hour horses can plow = 20.
Number of acres of land in an hour 21 horses can plow =
5 horses – 20 acres
21 horses – ??
=> 5 × ?? = 20 × 21
=> ?? = 420 ÷ 5
=> ?? = 84.
Question 6.
How many minutes will it take 5 people to stack 250 chairs if each person can stack 20 chairs a minute?
Answer:
Number of minutes it take 5 people to stack 250 chairs = 50.
Explanation:
Number of people to stack chairs = 5.
Number of chairs = 250.
Number of chairs if each person can stack in a minute = 20.
Number of minutes it take 5 people to stack 250 chairs = Number of chairs ÷ Number of people to stack chairs
= 250 ÷ 5
= 50.
Question 7.
George can polish 240 square feet of floor in 2 hours. How many square feet can he polish in 7 hours?
Answer:
Number of square feet of floor George can polish in 7 hours = 840.
Explanation:
Number of square feet of floor George can polish = 240.
Number of hours = 2.
Number of square feet of floor George can polish in an hour = Number of square feet of floor George can polish ÷ Number of hours
= 240 ÷ 2
= 120.
Number of square feet of floor George can polish in 7 hours = 7 × Number of square feet of floor George can polish in an hour
= 7 × 120
= 840.
Question 8.
It took 35 minutes for the first 45 people to pass through customs at the airport. If it takes the same amount of time for each person, how long will it take for the whole plane of 135 people to pass through customs?
Answer:
Number of minutes for the whole plane of 135 people to pass through customs = 105.
Explanation:
Number of minutes for the first people to pass through customs at the airport = 35.
Number of people people to pass through customs at the airport = 45.
Number of minutes for the whole plane of 135 people to pass through customs =
35 minutes – 45 people
?? – 135 people
=> 135 × 35 = ?? × 45
=> 4,725 ÷ 45 = ??
=> 105 minutes = ??