If two car are traveling in opposite directions and have average speeds of 45 mph and 55 mph, what equation shows that the cars are 250 miles apart after t hours?
To find the equation that shows the distance between the two cars after t hours, we can use the formula:
Distance = Rate × Time
The rate at which the first car is traveling is 45 mph, and the rate at which the second car is traveling is 55 mph. Since they are traveling in opposite directions, their combined rate is 45 mph + 55 mph = 100 mph. Therefore, the equation can be written as:
Distance = 100 mph × t hours
Simplifying further, we get:
Distance = 100t
Now, we can substitute t = 2.5 hours (since t is given as a time in hours) into the equation to find the distance between the two cars after 2.5 hours:
Distance = 100 × 2.5
Distance = 250 miles
So, the equation that shows the cars are 250 miles apart after t hours is:
Distance = 100t
7x over 9
The options are:
45t=55t+250
45t+55t=250
55t-45t=250
or 50t=250