A car leaves @ 10am going 60 mph, another leaves opposite direction going 50mph how long till they are 330 miles apart. I know the answer is 1pm but I need to know a variable and how to create the problem
Your varibles would be t for time and d for distance.
Can you tell me the formula to find out the answer
To create the problem, we can start by defining a variable. Let's say the time it takes for the cars to be 330 miles apart is denoted by "t" hours.
Now, let's break down the problem and calculate the distance covered by each car during time "t".
The first car is traveling at a constant speed of 60 mph. Therefore, in "t" hours, it would have covered a distance of 60t miles.
The second car is traveling in the opposite direction at a constant speed of 50 mph. Hence, it will also cover a distance of 50t miles in "t" hours.
Since the two cars are moving away from each other, we can add the distances covered by each car to find the total distance between them:
Distance = Distance covered by the first car + Distance covered by the second car
= 60t + 50t
= 110t
According to the problem, the total distance between the two cars is 330 miles. We can set up an equation:
330 = 110t
Now, we can solve for "t" by dividing both sides of the equation by 110:
t = 330/110
t = 3
Therefore, it will take 3 hours for the cars to be 330 miles apart.
If the first car leaves at 10 am, it will travel for 3 hours and reach the 330 miles mark at 1 pm.