Two trucks leave the truck stop at the same time, one heading north and one heading south. The truck driving south is driving 15 miles per hour slower than the truck driving north. How fast is the slower truck traveling is they are 1,250 miles apart after 10 hours worth of driving?
85 mile per hour
Two cars leave St. Louis at the same time and travel south on the same interstate. One car travels at a constant speed of 58 miles per hour and the other travels at a constant speed of 63 miles per hour. In how many hours will the cars be 40 miles apart?
Well, if the distance between the two trucks is 1,250 miles, and they have been driving for 10 hours, we can calculate their combined speed by dividing the distance by the time. So, the total speed of both trucks combined is 1,250 miles / 10 hours = 125 miles per hour.
Since we know the slower truck is driving 15 miles per hour less than the faster truck, we can set up an equation as follows:
Speed of faster truck + Speed of slower truck = 125 mph
Let's call the speed of the slower truck "x." Then the speed of the faster truck would be "x + 15."
So, we have the equation:
x + (x + 15) = 125
Simplifying this equation, we get:
2x + 15 = 125
Subtracting 15 from both sides:
2x = 110
Dividing both sides by 2:
x = 55
Therefore, the slower truck is traveling at a speed of 55 miles per hour.
To find the speed of the slower truck, let's break down the problem.
We know that the two trucks are driving in opposite directions, so we can add their speeds to find the combined rate at which they are moving away from each other. Let's call the speed of the slower truck "x" miles per hour.
The faster truck, therefore, is moving at a speed of "x + 15" miles per hour.
Now, to find the distance between them after 10 hours, we can use the formula:
Distance = Speed × Time
For the slower truck, the distance it travels in 10 hours is:
Distance1 = x miles per hour × 10 hours
For the faster truck, the distance it travels in 10 hours is:
Distance2 = (x + 15) miles per hour × 10 hours
The total distance between them is 1,250 miles, so we can set up the equation:
Distance1 + Distance2 = 1,250 miles
Substituting the expressions for Distance1 and Distance2:
(x miles per hour × 10 hours) + ((x + 15) miles per hour × 10 hours) = 1,250 miles
Now, we can simplify and solve for x:
10x + 10(x + 15) = 1,250
10x + 10x + 150 = 1,250
20x = 1,250 - 150
20x = 1,100
x = 1,100 / 20
x = 55
Therefore, the slower truck is traveling at a speed of 55 miles per hour.
they are separating at the rate of 125 mph
s + s + 15 = 125 ... 2 s = 110