Intermediate Algebra: Uniform Motion Story Problem

What is the main concept discussed in this tutorial?

• Solving quadratic equations

• Understanding acceleration

• Calculating the speed of a single train

• Uniform motion involving two trains

What is the speed of the first train?

• 50 mph

• 45 mph

• 40 mph

• 55 mph

Which formula is used to calculate the distance traveled by the trains?

• d = r * t

• d = r / t

• d = r - t

• d = r + t

How is the time for the second train expressed in terms of the first train's time?

• 2x

• x / 2

• x - 2

• x + 2

What is the time taken by the first train to travel the distance when the second train catches up?

• 18 hours

• 22 hours

• 20 hours

• 24 hours

How long does the second train travel to catch up with the first train?

• 22 hours

• 18 hours

• 16 hours

• 20 hours

What is the distance traveled by both trains when the second train catches up?

• 950 miles

• 800 miles

• 850 miles

• 900 miles

What is the speed of the second train?

• 45 mph

• 50 mph

• 55 mph

• 60 mph

Why is it important to set the distances equal in this problem?

• To solve for the acceleration

• To calculate the time taken by the first train

• To determine when the second train catches up

• To find the speed of the trains

What is the purpose of using parentheses in the equation for the second train?

• To highlight the rate

• To simplify the equation

• To ensure correct multiplication

• To separate the rate and time