Answer:
Explanation:
Let’s call the distance you drove “d” and the time it took you to drive at 40 miles per hour “t”. We can use the formula distance = rate x time to create two equations:
d = 40t (equation 1) d = 35(t + 0.75) (equation 2)
We know that if you had driven at a rate of 35 miles per hour instead of 40 miles per hour, you would have arrived 45 minutes later. Since there are 60 minutes in an hour, we can convert 45 minutes to hours by dividing by 60:
45 ÷ 60 = 0.75
So equation 2 represents the distance you would have driven if you had driven at a rate of 35 miles per hour.
Now we can substitute equation 1 into equation 2:
40t = 35(t + 0.75)
Simplifying this equation gives:
40t = 35t + 26.25
Subtracting 35t from both sides gives:
5t = 26.25
Dividing both sides by 5 gives:
t = 5.25
So it took you 5.25 hours to drive to the beach at a rate of 40 miles per hour.
Now we can use equation 1 to find the distance you drove:
d = 40t
d = 40 x 5.25
d = 210 miles
Therefore, you drove 210 miles to get to the beach.
I hope this helps! Let me know if you have any other questions or if there is anything else I can help you with.