Two buses start at the same point and travel in opposite directions. The first

Question

bus travels 10 miles per hour faster than the second bus. In 3 hours, the buses
are 282 miles apart. Use the formula below to determine the rate of the second
bus.

3(r + 10) + 3r = 282

(1 point)

r= 42 mph

r = 21 mph

r= 45 mph

r= 30 mph

Answer 1

To solve the equation \( 3(r + 10) + 3r = 282 \), we start by distributing the 3:

\[ 3r + 30 + 3r = 282 \]

Now, combine the like terms:

\[ 6r + 30 = 282 \]

Next, we subtract 30 from both sides:

\[ 6r = 252 \]

Now, divide both sides by 6 to solve for \( r \):

\[ r = 42 \]

The rate of the second bus is \( r = 42 \) mph.

Thus, the correct answer is:

r = 42 mph.