Question

If a silkworm can produce 24 inches of silk every 15 minutes, how long will it take to produce enough silk for a scarf, which required 45 meters of silk?(1m = 39.37 in)

Answer 1

Answer:

(answers are rounded) 18.45 hours, or 1107.28 minutes

Explanation:

Write down your known quantities:

• 1 meter = 39.37 inches
• 45 meters = 1771.65354 inches

Set up a ratio with inches to minutes:

• 24 inches = 15 minutes
• 1771.65354 inches = ? minutes

Solve for minutes by:

1. 1771.65354/24 = 73.8188975
2. 15 * 73.8188975 = 1107.28346
3. 1107.28346 minutes, or 18.45472433333 hours

Answer 2

A silkworm will take 1,107 minutes to produce 45 meters of silk required for a scarf.

Explanation:

Given:

A silkworm can produce 24 inches of silk every 15 minutes.

To find:

Time to produce enough silk to make a scarf.

Solution:

A silkworm can produce 24 inches of silk every 15 minutes. Then in one inch of silk will be produced in :

$=\frac{15}{24} min=0.625 min$

Length of silk required to make one scarf = 45 m

$1 m = 39.37 inches\\45 m=45\times 39.37 inches=1,771.65 inches$

A silkworm produces 1 inch of silk in 0.625 minutes then 1,771.65 inches of silk will produce in:

$=1,771.65 \times 0.625 min\\=1,107.28 min\approx 1,107 min$

A silkworm will take 1,107 minutes to produce 45 meters of silk required for a scarf.

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