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In 15 Days, the Earth Picks up 1.2 × 108 Kg of Dust from the Atmosphere. in How Many Days It Will Pick up 4.8 × 108 Kg of Dust? - Mathematics

Short Note

In 15 days, the earth picks up 1.2 × 108 kg of dust from the atmosphere. In how many days it will pick up 4.8 × 108 kg of dust?

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Solution

Let x be the number of days taken by the earth to pick up

\[4 . 8 \times {10}^8\]  kg of dust.
 
\[\text{ Since the amount of dust picked up by the earth and the number of days are in direct variation, we get: } \]
\[\frac{15}{x} = \frac{1 . 2 \times {10}^8}{4 . 8 \times {10}^8}\]
\[ \Rightarrow x = 15 \times \frac{4 . 8}{1 . 2}\]
\[ \Rightarrow x = 60\]

Thus, the required number of days will be 60.

 
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APPEARS IN

RD Sharma Class 8 Maths
Chapter 10 Direct and Inverse Variations
Exercise 10.1 | Q 23 | Page 8
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