Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 75 miles per hour. The eastbound train travels at 55 miles per hour. How long will it take for the two trains to be 182 miles apart?

Do not do any rounding.

I have no idea where to even start with this problem.

75x+55x=182 where x is time in hours

130x = 182
X=182/130

John has to catch a 3:35 train bicycling at 10 miles an hour distance 4 miles what time should he leave his house

To solve this problem, we can use the formula for finding the distance between two objects moving in opposite directions. The formula is:

Distance = (Speed of Train 1 + Speed of Train 2) × Time

In this case, the speed of the westbound train is 75 miles per hour, and the speed of the eastbound train is 55 miles per hour. The total distance between the two trains is 182 miles. We need to find the time it takes for the two trains to be 182 miles apart.

Let's substitute the given values into the formula:

182 = (75 + 55) × Time

Now we can solve for Time:

182 = 130 × Time

Divide both sides of the equation by 130:

Time = 182 / 130

Time = 1.4 hours

Therefore, it will take 1.4 hours for the two trains to be 182 miles apart.

To solve this problem, you can use the formula: Distance = Speed × Time.

First, let's find out how much time it will take for each train to travel a certain distance. We know that the westbound train is traveling at 75 miles per hour, so we can set up the equation:

Time for westbound train = Distance / Speed
Time for westbound train = 182 miles / 75 mph

Similarly, for the eastbound train:

Time for eastbound train = Distance / Speed
Time for eastbound train = 182 miles / 55 mph

Now, we can calculate the answer.