Answer:
Step-by-step explanation:
Front Crawl DATA:
distance = x yrds. ; rate = 45 yrd/min ; time = d/r = x/45 minutes
----------------
Breastroke DATA:
distance = 500-x yrds; rate = 35 yrs/min ; time = d/r = (500-x)/3 minutes
--------------------
EQUATION
tiime + time = 12 minutes:
x/45 + (500-x)/35 = 12
35x + 45(500-x) = 35*45*12
-10x + 45*500 = 35*45*12
-10x = -3600
x = 360 yds. (front crawl distance)
-----------
Front crawl time = 360 yds / (45 yds/mim) = 8 minutes