Distance, Rate, and Time Problems

The video tutorial covers the concept of constant speed through various activities. It begins with an introduction to constant speed and proceeds with three activities: running on a treadmill, walking on a rail trail, and comparing swimming and biking speeds. Each activity involves solving problems related to distance, time, and speed. The lesson concludes with a summary and homework problems to reinforce the concepts learned.

If Andre's Dad runs 12 miles in 75 minutes, how long will it take him to run 8 miles at the same speed?

• 60 minutes

• 50 minutes

• 40 minutes

• 70 minutes

What is the reciprocal of the rate 12 miles in 75 minutes?

• 1 mile in 12.5 minutes

• 6.25 miles in 1 minute

• 1 mile in 6.25 minutes

• 75 miles in 12 minutes

Kieran and Claire start 24 miles apart. If Kieran walks at 3 mph and Claire at 3.4 mph, how far apart are they after 1 hour?

• 19.6 miles

• 20.6 miles

• 17.6 miles

• 18.6 miles

How long will it take Kieran and Claire to meet if they walk towards each other at a combined speed of 6.4 mph?

• 4 hours

• 3.75 hours

• 3.5 hours

• 3 hours

Jada bikes 2 miles in 12 minutes, while her cousin swims 1 mile in 24 minutes. Who is faster and by how much?

• Cousin by 1 mph

• Cousin by 2.5 mph

• Jada by 7.5 mph

• Jada by 5 mph

If Jada and her cousin start moving in opposite directions, how far apart will they be after 15 minutes?

• 3.5 miles

• 3.125 miles

• 3 miles

• 3.25 miles

How many tablespoons are in one pint if there are 4 tablespoons in a 1/4 cup and 2 cups in a pint?

• 16 tablespoons

• 24 tablespoons

• 32 tablespoons

• 40 tablespoons

If Cube A has a side length of 2 and Cube B has a side length of 4, how does the surface area of Cube B compare to Cube A?

• Four times as much

• Twice as much

• Six times as much

• Eight times as much

How long does it take May to complete four laps of a 400m track if she runs at 250m per minute?

• 4 minutes

• 10 minutes

• 6.4 minutes

• 8 minutes

If Han runs at a pace of 12 minutes per mile, how far does he run in half an hour?

• 1 mile

• 1.5 miles

• 2 miles

• 2.5 miles