I am having trouble figuring out how to solve this problem a

I am having trouble figuring out how to solve this problem and any help would be appreciated. This problem is not from a text book and is one that my professor create himself.
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?
2. What is the length of the race?

Solution

1. How long does the race take?
Tortoise DATA:
rate = 10 cm/sec ; distance = x cm ; time = x/10 seconds
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Hare DATA:
rate = 200 cm/sec ; distance = (x-20) cm ; time = (x-20)/200 sec
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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)