Two trucks left buck's trucks traveling in opposite directions. One truck traveled at a rate of 70km/h, the other at 80km/h. After how many hours were the trucks 900km apart?
I got 3 hours as my answer, but I don't think that's right...
njjjbb
Never minds. I see my mistake. It's really 6 hours.
You could easily check your answer.
first truck went 3(70) or 210 km
2nd truck went 3(80) = 240 km
nope, that does not add up to 900, so
let the time be t hours
70t + 80t = 900
150t = 900
t = 6
I will leave it up to you to check my answer.
thanks. I though because you added 70t and 80t there would be 2ts. But no.
To solve this problem, you can use the formula:
Distance = Speed × Time
Let's denote the time it takes for the trucks to be 900km apart as "t". We have two trucks traveling in opposite directions, so the distance traveled by one truck will be the sum of the distances covered by both trucks.
For the first truck:
Distance1 = Speed1 × Time
Distance1 = 70 km/h × t
For the second truck:
Distance2 = Speed2 × Time
Distance2 = 80 km/h × t
Since the trucks are traveling in opposite directions, the total distance covered will be the sum of the distances traveled by each truck:
Total Distance = Distance1 + Distance2
Total Distance = 70t + 80t = 150t
Now, we know that the total distance is 900km, so we can set up the equation:
150t = 900
To solve for "t", divide both sides of the equation by 150:
t = 900 / 150
t = 6
Therefore, it will take the trucks 6 hours to be 900km apart, not 3 hours as you initially thought.