L15 · Rate concepts

1. 1.

   A bus travels 45 miles in 2 hours. What is the constant speed in miles per hour?

   Answer. 22.5 mph

   45 ÷ 2 = 22.5 miles per hour.

2. 2.

   A bus travels 90 miles in 4 hours. What is the constant speed in miles per hour?

   Answer. 22.5 mph

   90 ÷ 4 = 22.5 miles per hour.

3. 3.

   A bus travels 90 miles in 2 hours. What is the constant speed in miles per hour?

   Answer. 45 mph

   90 ÷ 2 = 45 miles per hour.

4. 4.

   A bus travels 105 miles in 3 hours. What is the constant speed in miles per hour?

   Answer. 35 mph

   105 ÷ 3 = 35 miles per hour.

5. 5.

   A bus travels 90 miles in 4 hours. What is the constant speed in miles per hour? Then Theo needs 3 of that amount. What is the total they need?

   Answer. 67.5 mph

   90 ÷ 4 = 22.5 miles per hour. Then multiply by 3: 67.5 mph.

6. 6.

   A bus travels 60 miles in 5 hours. What is the constant speed in miles per hour? Then Priya needs 3 of that amount. What is the total they need?

   Answer. 36 mph

   60 ÷ 5 = 12 miles per hour. Then multiply by 3: 36 mph.

7. 7.

   A bus travels 45 miles in 3 hours. What is the constant speed in miles per hour? Then Jonah needs 4 of that amount. What is the total they need?

   Answer. 60 mph

   45 ÷ 3 = 15 miles per hour. Then multiply by 4: 60 mph.

8. 8.

   A bus travels 105 miles in 4 hours. What is the constant speed in miles per hour? Then Nora needs 4 of that amount. What is the total they need?

   Answer. 105 mph

   105 ÷ 4 = 26.25 miles per hour. Then multiply by 4: 105 mph.

9. 9.

   A bus travels 60 miles in 5 hours. What is the constant speed in miles per hour? Then Priya needs 4 of that amount. What is the total they need?

   Answer. 48 mph

   60 ÷ 5 = 12 miles per hour. Then multiply by 4: 48 mph.

10. 10.

    A bus travels 75 miles in 5 hours. What is the constant speed in miles per hour? Then Malik needs 2 of that amount. What is the total they need?

    Answer. 30 mph

    75 ÷ 5 = 15 miles per hour. Then multiply by 2: 30 mph.

11. 11.

    Think

    Sam tried this problem:
    A bus travels 60 miles in 4 hours. What is the constant speed in miles per hour?
    Sam wrote 14 mph. That is not correct. What is the right answer?

    Answer. 15 mph

    Sam’s answer 14 mph is off. 60 ÷ 4 = 15 miles per hour.

12. 12.

    Think

    Ava tried this problem:
    A bus travels 45 miles in 2 hours. What is the constant speed in miles per hour?
    Ava wrote 45 mph. That is not correct. What is the right answer?

    Answer. 22.5 mph

    Ava’s answer 45 mph is off. 45 ÷ 2 = 22.5 miles per hour.

Original extra practice. Keys are computed from the items, not guessed.