Problema Solution
Two trucks leave a wharehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by 9 miles per hour. After 2 hours, they are 192 miles apart. What are the rates of the trucks?
Faster: Rate x time= Distance
x+9 2 =
x 2 =
The rate of the slower truck is ___ miles per hour.
The rate of the faster truck is ___ miles per hour.
Answer provided by our tutors
If the rate of the slower truck is x, and the rate of the faster truck is x + 9, then
Faster: Rate x time = Distance
(x+9)2 = 2x + 18
Slower: Rate x time = Distance
x(2) = 2x
After 2 hours they are 192 miles apart:
2x + (2x + 18) = 192
4x + 18 = 192
x = 43.5 mph
x + 9 = 52.5 mph
The rate of the slower truck is 43.5 miles per hour.
The rate of the faster truck is 52.5 miles per hour.
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