Two buses start at the same point and travel in opposite directions. The first 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
Responses
r = 30 mph
r = 30 mph
r = 42 mph
r = 42 mph
r = 45 mph
r = 45 mph
r = 21 mph
r = 42 mph
To solve for the rate of the second bus, let's simplify the equation:
3(r + 10) + 3r = 282
First, distribute 3 to (r + 10) to remove the parentheses:
3r + 30 + 3r = 282
Now combine like terms:
6r + 30 = 282
Subtract 30 from both sides:
6r = 252
Finally, divide both sides by 6 to solve for r:
r = 252 / 6 = 42 mph
Therefore, the rate of the second bus is 42 mph.