Question 424578: Joe beats Pete by 10 yards in a hundred yard race. They race again and Joe starts 10 yards behind the original starting line. Who wins? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Joe beats Pete by 10 yards in a hundred yard race.
----
Joe DATA:
distance = 100 yds ; time = x minutes ; rate = 100/x yds/min
Pete DATA:
distance = 90 yds ; time = x minutes ; rate = 90/x yds/min
-----------
=========================
They race again and Joe starts 10 yards behind the original starting line. Who wins?
Joe DATA:
distance = 110 yds ; rate = 100/x yds/min; time = 110/(100/x) = (11/10)x min
--
Pete DATA:
distance = 100 yds ; rate = 90/x yds min ; time = 100/(90/x) = (10/9)x min
-----
Winner has lest time on 2nd rate:
---
Which is least? (11/10) or (10/9)
11/10 R (10/9
99 R 100
99 < 100
---
11/10 is least so Joe would win the 2nd race.
======================
Cheers,
Stan H.
(