Susan drove 50 miles on her trip before Rick began his drive. Susan drives at a rate of 30 miles per hour and Rick drives at a rate of 45 miles per hour. Write an equation to represent the situation where Susan and Rick will have driven the same miles.

50 + 30x = 45x

Step-by-step explanation:

We are told that Susan drove 50 miles before Rick started his journey.

We are told that Susan drives at 30 miles/hr

Which means total distance by Susan for x number of hours is;

50 + 30x miles

Total distance driven by Rick for x number of hours = 45x

For Rick and Susan to be at the same point, their distance covered must be the same.

Thus;

50 + 30x = 45x

45x - 30x = 50

15x = 50

x = 50/15

x = 3.333 hours

Thus, the equation where Rick and Susan would have driven the same number of miles is;

50 + 30x = 45x

step-by-step explanation:

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.