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Five Workers Take 12 Days to Weed a Field. How Many Days Would 6 Workers Take? How Many Would 15 Take?

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प्रश्न

Five workers take 12 days to weed a field. How many days would 6 workers take? How many would 15 take?

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उत्तर

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

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

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

∴ 5 × 12 = 6 × x

⇒ x = `60/6`

⇒ x = 10 days

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

∴ 5 × 12 = 15 × y

⇒ y = `60/15`

⇒ y = 4 days

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

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पाठ 9: Direct Proportion and Inverse Proportion - Practice Set 38 [पृष्ठ ६६]

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बालभारती Mathematics [English] Standard 7 Maharashtra State Board
पाठ 9 Direct Proportion and Inverse Proportion
Practice Set 38 | Q 1 | पृष्ठ ६६
बालभारती Mathematics Integrated [English] Standard 7 Maharashtra State Board
पाठ 9 Direct Proportion and Inverse Proportion
Practice Set 38 | Q 1. | पृष्ठ ४४

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