Question

Tish scarf is 17.75 inches long and knits 2 3/8 per minute. Emma scarf is 4 inches knits 3 3/4 inches per minute. After how many minutes will Emma’s scarf be longer than tish scarf

Answer 1

t = 10 minutes

Emma’s scarf will be longer than tish scarf after 10 minutes

Step-by-step explanation:

Given;

The length of tish scarf after t minutes can be written as;

L1 = 17.75 + 2 3/8 ×t

L1 = 17.75 + 2.375t

The length of emma scarf after t minutes can be written as;

L2 = 4 + 3 3/4 × t

L2 = 4 + 3.75t

For emma scarf to be longer than tish;

L2 >/= L1

At L2 = L1

4+3.75t = 17.75 + 2.375t

Solving for t

3.75t - 2.375t = 17.75 - 4

1.375t = 13.75

t = 13.75/1.375

t = 10 minutes

Emma’s scarf will be longer than tish scarf after 10 minutes