Question

If 5 workers can weed a field in 12 days so how many days will it take 6 workers to complete the same work?
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Answer 1

ǫᴜᴇsᴛɪᴏɴ →

If 5 workers can weed a field in 12 days so how many days will it take 6 workers to complete the same work?

ᴀɴsᴡᴇʀ →

Let us suppose 6 workers will take x days to weed a field.

As the number of workers increase, the number of days decreases.

So, the number of workers and number of days are in inverse proportion.

$\longmapsto\tt{5 × 12 = 6 × x}$

$\longmapsto\tt{X=\dfrac{60}{6}}$

$\longmapsto\tt{X = 10 \: day}$

Let us suppose 15 workers will take y days to weed a field.

$\longmapsto\tt{5 × 12 = 15 × y}$

$\longmapsto\tt{y=\dfrac{60}{15}}$

$\longmapsto\tt{y = 4 \: \: day's}$

Hence, 6 workers will take 10 days, while 15 workers will take 4 days to weed a field.