<PRE><B>Question 214298</B>
A speedy tortoise can run with a speed of 10 cm/sec and a hare can run 20 times as fast. If they both start at the same time, but the hare stops for 2 minutes to rest, the tortoise wins by 20cm.
1. How long does the race take?
Tortoise DATA:
rate = 10 cm/sec ; distance = x cm ; time = x/10 seconds
---
Hare DATA:
rate = 200 cm/sec ; distance = (x-20) cm ; time = (x-20)/200 sec
---------------------------------------
Equation 
Hare time + 120 seconds = tortoise time
(x-20)/200 + 120 = x/10
Multiply thru by 200 to get:
x-20 + 200*120 = 20x
19x = 200*120 -20
x = 1262.11 cm (length of the race)
x/10 = 126.21 seconds (time of the race)
----
Cheers,
Stan H.

2. What is the length of the race?
</PRE>