Suiz drove home at 60mph, but her brother jim, who left at the same time, could only drive at 48mph. when suzie arrived, jim still had 60 miles to go. how far did suzie drive?
Please show work
To figure out how far Suizie drove, we need to find out the time it took for Jim to catch up with her. We can use the equation distance = speed × time.
Let's assume Suizie traveled for t hours. So, she covered a distance of 60t miles.
Jim also traveled for t hours, but at a slower speed of 48 mph. So, he covered a distance of 48t miles.
When Suizie arrived, Jim still had 60 miles to go. Therefore, the remaining distance for Jim is 60 miles. We can set up the equation as:
Remaining distance for Jim = 48t = 60
To solve for t, divide both sides of the equation by 48:
t = 60 / 48
Simplifying this fraction gives:
t = 1.25
Now that we have the value for t, we can find how far Suizie drove by plugging it into the equation for her distance:
Distance for Suizie = 60t = 60 × 1.25
Calculating this gives:
Distance for Suizie = 75 miles
Therefore, Suizie drove a total distance of 75 miles.