Solving Unit Rate Problems in Math

This video tutorial covers Math 6 Lesson 5-7, focusing on using unit rates to solve various problems. It begins with an introduction to unit rates and progresses through solving problems involving train travel, jet travel, and unit price calculations. The lesson emphasizes the importance of constant speed and unit rates in modeling and solving real-world problems. Examples include calculating travel time for trains and jets, determining costs of items, and using equations to represent unit rate problems. The tutorial encourages students to apply these concepts through practice problems.

What is the unit rate of a train traveling at a constant speed of 55 miles per hour?

• 45 miles per hour

• 60 miles per hour

• 50 miles per hour

• 55 miles per hour

How long does it take for the train to travel 275 miles at a speed of 55 miles per hour?

• 4 hours

• 7 hours

• 5 hours

• 6 hours

If the train speed doubles, how long will it take to travel the same 275 miles?

• 3.5 hours

• 2.5 hours

• 3 hours

• 2 hours

At a constant speed of 110 miles per hour, how long does it take to travel 275 miles?

• 2.5 hours

• 2 hours

• 1.5 hours

• 3 hours

How far can a jet fly in 85 minutes at a constant speed of 25 miles per minute?

• 2100 miles

• 2200 miles

• 2000 miles

• 2125 miles

How much would it cost to buy five slices of Swiss cheese if the unit price is 30 cents per slice?

• $2.00

• $1.00

• $2.50

• $1.50

If Jared paid $13.80 for five tickets, how much would three tickets cost at the same rate?

• $8.28

• $7.50

• $10.00

• $9.00

How long would it take a submarine to travel 57 miles at a speed of 38 miles per hour?

• 1 hour

• 2.5 hours

• 2 hours

• 1.5 hours

What is the unit rate if a ferry boat travels 57.5 miles in 2.5 hours?

• 23 miles per hour

• 25 miles per hour

• 24 miles per hour

• 22 miles per hour

How long does it take to travel 92 miles at a rate of 23 miles per hour?

• 4.5 hours

• 3.5 hours

• 4 hours

• 5 hours