Question: The two steamers will be 42 miles apart after Complete the table representing the information in…

The two steamers will be 42 miles apart after

Complete the table representing the information in the problem.

Rate	Time	Distance
14	t
		42

Two steamers leave a port on a river at the same time, traveling in opposite directions. Each is traveling 14 mph. How long will it take for them to be 42 miles apart?

Solution

The problem states that two steamers leave a port on a river at the same time, traveling in opposite directions. Each is traveling 14 mph. We need to find out how long it will take for them to be 42 miles apart. Let’s denote the time it takes for them to be 42 miles apart as \( t \). Since both steamers are traveling at the same rate and in opposite directions, the rate at which the distance between them increases is \( 14 + 14 = 28 \) mph. Using the formula for distance: \[ \text{Distance} = \text{Rate} \times \text{Time} \] We can set up the equation: \[ 42 = 28 \times t \] To find \( t \), divide both sides by 28: \[ t = \frac{42}{28} \] \[ t = 1.5 \] So, it will take 1.5 hours for the two steamers to be 42 miles apart.