Ratios and Rates Word Problems

Keely went for a long swim. If she swam 12 miles in 3 hours, how long would she swim in 6 hours?

• 20 miles

• 4 miles

• 72 miles

• 24 miles

Sam sharpens pencils for his after school job. He can sharpen 26 pencils in 6 minutes. If he keeps this rate, how many pencils can he sharpen in 15 minutes?

• 390 pencils

• 65 pencils

• 20 pencils

• 11 pencils

The book fair is this week, and there's a special deal for teachers. For every 5 hardcover books a teacher buys, he or she can get 2 paperback books for free. Ms. Baldwin is buying 35 hardcover books for her classroom library.

How many paperback books will Ms. Baldwin get for free?

• 14 free

• 5 free

• 6 free

At soccer practice, Hassan warms up by kicking balls at the goal. Yesterday, Hassan made 24 goals in 3 minutes. Today, he only spent 2 minutes kicking balls at the goal.

If Hassan made goals at the same rate, how many goals did he make today?

• 2 goals

• 8 goals

• 16 goals

Brutus ran 4 miles in 20 minutes and continues running this rate for 1 hour. Birdie ran 5 miles in 30 minutes and continues running at this rate for 1 hour...
How many more miles did Brutus run than Birdie?

• 2 miles

• 22 miles

• 1 miles

• 120 miles

In a school, the ratio of boys to girls is 7:5. If there are 420 students in total, how many girls are there?

• 175

• 245

• 300

• 350

• £1.00

• £1.25

• £1.50

• £1.75

John can read 135 pages in 1 1/2 hours. What is Johns reading rate in pages per minute?

• 2.5

• 1.5

• 90

• 30

If the ratio of red to blue marbles is 3:4 and there are 21 red marbles, how many blue marbles are there?

• 16

• 28

• 24

• 32

Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. When guests come, she makes 96 fluid ounces of coffee. How many grams of coffee beans does Diana use when she has visitors?

Mathematical Equivalence

ON