Question 1079286
Adam, Brenda, and Carl are running a relay race.  Carl runs 1 yard per second slower
than Adam and Brenda runs 10% faster than Adam.  They each run for 10 seconds and they
run a total of 145 yards.  How fast does each run?
<pre>Let Adam’s speed be S
Then Carl’s speed is: S – 1, and Brenda’s is: 1.1S
We then get the following DISTANCE equation: 10(S) + 10(S – 1) + 10(1.1S) = 145
10S + 10S – 10 + 11S = 145
31S = 145 + 10
31S = 155
S, or {{{highlight_green(matrix(3,7, "Adam's", speed, "=", 155/31, or, 5, "yards/sec", "Carl's", speed, "=", 5 - 1, or, 4, "yards/sec", "Brenda's", speed, "=", 1.1(5), "=", 5.5, "yards/sec"))}}}