Question

Mrs. Perez drove 33.75 miles in 3/4of an hour. What was the speed in miles per hour if this situation is represented by the equation d=rt?

Answer 1

The speed was 45 miles per hour

Step-by-step explanation:

Mrs. Perez drove 33.75 miles in $\frac{3}{4}$ of an hour

This situation is represented by the equation d = r t, where

• d is the distance in miles
• r is the speed in mile per hour
• t is the time in hour

We need to find the speed in miles per hour

∵ Mrs. Perez drove 33.75 miles in $\frac{3}{4}$ of an hour

∴ d = 33.75 miles

∴ t = $\frac{3}{4}$ hour

∵ d = r t

Substitute the values of d and t in the rule above

∴ 33.75 = r ( $\frac{3}{4}$ )

- Multiply both sides by 4

∴ 135 = r (3)

- Divide both sides by 3

∴ 45 = r

∵ r represents the speed in miles per hour

∴ The speed was 45 miles per hour

The speed was 45 miles per hour

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