Question

a ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals. assuming that the ship travels at a constant speed, what is its speed (miles per hour)?

time (hours)	distance (miles)
2.0
3.0

a. 90 mph
b. 40 mph
c. 45 mph
d. 80 mph

Explanation:

Step1: Recall the speed formula

The formula for speed is \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \).

Step2: Identify distance and time

From the table, when time is \( 1.5 \) hours, the distance is \( 60 \) miles.

Step3: Calculate speed

Substitute the values into the formula: \( \text{Speed} = \frac{60}{1.5} \).
To divide \( 60 \) by \( 1.5 \), we can multiply numerator and denominator by \( 10 \) to get \( \frac{600}{15} = 40 \) mph.

Answer:

B. 40 mph