Carcass wrote:
If Jim drives k miles in 50 minutes, how many minutes will it take him to drive 10 miles, at the same rate?
A. 500/k
B. k/500
C. 60k
D. 10k
E. 50/k
We can approach this question in terms of
equivalent ratiosJim drives k miles in 50 minutesWe're comparing
miles traveled to
minutes elapsed. Jim travels
k miles for every
50 minutes. Our ratio is
k miles/
50 minutes How many minutes will it take him to drive 10 miles, at the same rate?So, our ratio is
10 miles/
? minutesSo, our equation is:
k/
50 =
10/
?Cross multiply to get: (?)(k) = (50)(10)
Simplify: (?)(k) = 500
Solve for ? to get: ? = 500/k
Answer: A
Cheers,
Brent