Distance, Rate, and Time Problems

The video tutorial covers the concept of constant rate and how to write equations with two variables. It includes practical examples such as calculating the distance a train travels, the amount of water leaked, the number of cars assembled, and the output of a copy machine, all using constant rates. The tutorial emphasizes understanding and applying the formula of distance over time and other similar calculations.

What is the formula to calculate distance when a train travels at a constant speed?

• Distance = Time / Speed

• Distance = Speed + Time

• Distance = Speed x Time

• Distance = Speed / Time

If a train travels at 45 miles per hour, how far will it travel in 3 hours?

• 135 miles

• 180 miles

• 150 miles

• 90 miles

How much water leaks in 60 minutes if the leak rate is 1/3 gallon per minute?

• 15 gallons

• 10 gallons

• 20 gallons

• 25 gallons

What is the rate of car assembly if one car is assembled in 6 hours?

• 1 car per hour

• 6 cars per hour

• 1/12 car per hour

• 1/6 car per hour

How many cars can be assembled in a week if the assembly rate is 1/6 car per hour?

• 32 cars

• 34 cars

• 30 cars

• 28 cars

What is the constant rate of a copy machine that makes 80 copies in 2.5 minutes?

• 32 copies per minute

• 20 copies per minute

• 25 copies per minute

• 30 copies per minute

How many copies can be made in 0.5 minutes at a rate of 32 copies per minute?

• 12 copies

• 8 copies

• 16 copies

• 20 copies

If a copy machine operates for 0.75 minutes, how many copies will it produce at a rate of 32 copies per minute?

• 24 copies

• 20 copies

• 16 copies

• 28 copies

What is the total number of copies made in 1 minute at a rate of 32 copies per minute?

• 34 copies

• 28 copies

• 30 copies

• 32 copies

If a copy machine makes 8 copies in 0.25 minutes, what is the rate of copies per minute?

• 36 copies per minute

• 32 copies per minute

• 28 copies per minute

• 24 copies per minute