Question

It takes Sarah, traveling at 24mph
, 10
minutes longer to go a certain distance than it takes Ricky traveling at 32mph
. Find the distance traveled.

Answer 1

Let's start by using the formula:

distance = rate x time

Let d be the distance traveled. Then we have:

d = 24(t + 10) (for Sarah)
d = 32t (for Ricky)

where t is the time it takes for Ricky to travel the distance.

We want to find the value of d. We can solve for t in the second equation:

t = d/32

Now we can substitute this expression for t in the first equation:

d = 24(t + 10)
d = 24(d/32 + 10)
d = 18d/8 + 240 (dividing both sides by 4)
8d = 144d/8 + 960
7d = 960
d = 137.14 (rounded to two decimal places)

Therefore, the distance traveled is approximately 137.14 miles.