SOLUTION: 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

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?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52834) (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~~

Let A = rate of Adam, in yards per second. Then the Carl's rate is (A-1) yards per second, while Brenda's rate is 1.1A yerds per second. In 10 seconds Adam runs 10A yards, Brenda runs 10*1.1A yards, Carl runs 10*(A-1) yards. In total, 10A + 10*1.1A + 10*(A-1) = 145. Simplify: 10A + 11A + 10A - 10 = 145, 31A = 145 + 10, 31A = 155. Solve for A and then complete the solution on your own.

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!
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?

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
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