Question

Suppose that Juan can run 200 yards

in 28 seconds. Amy can run 88 yards
in 10 seconds. Who is faster and by
how much per second?

Answer 1

200/28 = 7.1

Juan can run roughly 7.1 yards per second.

88/10 = 8.8

Amy can run roughly 8.8 yards per second.

8.8 - 7.1 = 1.7

Amy is faster by 1.7 yards per second.

Answer 2

For this case we find the number of yards for each second that runs each and compare:

`Juan: \frac {200} {28} \frac {yards} {sec} = \frac {50} {7} \frac {yards} {sec}\\Amy: \frac {88} {10} \frac {yards} {sec} = \frac {44} {5} \frac {yards} {sec}`

Then, the difference is:

\frac {44} {5} - \frac {50} {7} = \frac {308} {35} - \frac {250} {35}

\frac {44} {5} - \frac {50} {7} = \frac {58} {35}

While Juan runs \frac {50} {7} yards per second, Amy runs \frac {44} {5} yards per second. Amy is faster, runs \frac {58} {35} yards per second faster than Juan.

Answer:

Amy is faster, runs \frac {58} {35} yards per second more than Juan.