Two trucks are traveling in the same direction, one going twice as fast as the other. At the end of 6 hours they are 204 miles apart. How fast is each travelling?
Can you guys show me the answer i got 68 and 146 but its wrong
They are separating at a rate equal to the slower truck's speed. Since It took 6 hours to separate by 204 miles, that is
204mi/6hr = 34 mi/hr
So, the slower truck is going 34 mi/hr
You found the faster truck's speed, but then botched it again since 2*8 ≠ 146 !!
I did it a vary different way and i meant 16, i think i pressed that wrong key and for the slower car i got 42 not sure how though but thanks for your help Steve!
Sure! Let's break down the problem step by step to find the correct solution.
Let's assume the speed of the slower truck is "x" miles per hour. According to the problem, the faster truck is traveling at twice the speed, so its speed would be "2x" miles per hour.
We know that the distance traveled by both trucks after 6 hours is 204 miles. Since they are traveling in the same direction, the faster truck will be ahead of the slower truck by this distance.
So, the equation we can set up is:
Distance = Speed × Time
For the slower truck: Distance = x miles/hour × 6 hours
For the faster truck: Distance = 2x miles/hour × 6 hours
Adding up these distances should give us the total distance of 204 miles:
x × 6 + 2x × 6 = 204
Now, let's solve this equation for x:
6x + 12x = 204
18x = 204
x = 204 / 18
x = 11.33
Since x represents the speed of the slower truck, we can round it to the nearest whole number: 11 mph.
As a result, the speed of the slower truck is approximately 11 mph, and the speed of the faster truck would be twice that, or 22 mph.
Therefore, the correct answer is that the slower truck is traveling at approximately 11 mph, while the faster truck is traveling at approximately 22 mph.