Question 1079286
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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?
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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.
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