Speed of snail 1 = 3.795 cm/minute
Speed of snail 2 = 4.795 cm/minute
Solution:
Given that,
Total distance = 189 cm
They crawl towards each other at rates that differ by 1 cm a minute
Let the speed of snail 1 be "x"
Let the speed of snail 2 be "x + 1"
Total time = 22 minutes
Since the snails are moving towards each other,
Speed = x + x + 1 = 2x + 1
How fast is each snail crawling?
[tex]Distance = speed \times time\\\\189 = 2x + 1 \times 22\\\\189 = 44x + 22\\\\44x = 189 - 22\\\\44x = 167\\\\x = 3.795[/tex]
Thus,
Speed of snail 1 = 3.795 cm/minute
Speed of snail 2 = 3.795 + 1 = 4.795 cm/minute
