Solving for Constant Velocity (2.3.1)

Question 1

• A constant velocity problem involves travel at a steady speed.

Answer 1

• A constant velocity problem involves travel at a steady speed.

DISTANCE = RATE * TIME

Question 2

Use the formula d = rt to write an equation for each person.

Arsenio’s speed is 540 mi/h, but his distance and time are unknown. Therefore, the equation for Arsenio’s distance equation is d = 540t.

MC Plier’s speed is also known: it is 660 mi/h. MC Plier’s
distance and time are unknown. However, it is known that MC Plier’s time is equal to 1 less than Arsenio’s time since MC Plier left one hour after Arsenio. So, if Arsenio’s time is t, then MC Plier’s time is t – 1.

And, if Arsenio’s distance is d, then MC Plier’s distance is
1800 – d. Thus, MC Plier’s equation is 1800 − d = 660(t − 1).

Substitute the expression 540t into MC Plier’s equation for d and solve to find the amount of time that Arsenio traveled before passing MC Plier.

Answer 2

Use the formula d = rt to write an equation for each person.

Arsenio’s speed is 540 mi/h, but his distance and time are unknown. Therefore, the equation for Arsenio’s distance equation is d = 540t.

MC Plier’s speed is also known: it is 660 mi/h. MC Plier’s
distance and time are unknown. However, it is known that MC Plier’s time is equal to 1 less than Arsenio’s time since MC Plier left one hour after Arsenio. So, if Arsenio’s time is t, then MC Plier’s time is t – 1.

And, if Arsenio’s distance is d, then MC Plier’s distance is
1800 – d. Thus, MC Plier’s equation is 1800 − d = 660(t − 1).

Substitute the expression 540t into MC Plier’s equation for d and solve to find the amount of time that Arsenio traveled before passing MC Plier.