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Some boats were traveling up and down a river. A satellite recorded the movements of several boats.
a. A motor boat traveled -3.4 miles per hour for 0.75 hours. How far did it go?
b. A tugboat traveled -1.5 miles in 0.3 hours. What was its velocity?

What do you think that negative distances and velocities could mean in this situation?

$3$ . Some boats were traveling up and down a river. A satellite recorded the movements of several boats. $\newline$ a. A motor boat traveled $-3$ . $4$ miles per hour for $0$ . $75$ hours. How far did it go? $\newline$ b. A tugboat traveled $-1$ . $5$ miles in $0$ . $3$ hours. What was its velocity? $\newline$ What do you think that negative distances and velocities could mean in this situation?

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Exponential growth and decay: word problems

Full solution

Q.

3

. Some boats were traveling up and down a river. A satellite recorded the movements of several boats.

\newline

a. A motor boat traveled

-3

.

4

miles per hour for

0

.

75

hours. How far did it go?

\newline

b. A tugboat traveled

-1

.

5

miles in

0

.

3

hours. What was its velocity?

\newline

What do you think that negative distances and velocities could mean in this situation?

Calculate Motor Boat Distance: To find out how far the motor boat went, we multiply its speed by the time it traveled. $\newline$ $-3.4$ miles/hour $*$ $0.75$ hours = $-2.55$ miles
Find Tugboat Velocity: Now let's figure out the tugboat's velocity by dividing the distance it traveled by the time it took. $\newline$ $-1.5$ miles / $0.3$ hours = $-5$ miles/hour
Consider Negative Values: Negative distances and velocities could mean that the boats were traveling downstream or in the opposite direction of what's considered positive.

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