To snails are 189 cm apart. They crawl towards each other at rates that differ by 1 cm a minute. After 27 minutes they meet. How

Question

3 years ago

14

fast is each snail crawling?

1 answer:

Stella [2.4K] · Answer 1 · 2022-05-17T19:05:53+03:00

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?

$Distance = speed \times time\\\\189 = 2x + 1 \times 22\\\\189 = 44x + 22\\\\44x = 189 - 22\\\\44x = 167\\\\x = 3.795$

Thus,

Speed of snail 1 = 3.795 cm/minute

Speed of snail 2 = 3.795 + 1 = 4.795 cm/minute