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प्रश्न
In 10 days, the earth picks up 2.6 × 108 pounds of dust from the atmosphere. How much dust will it pick up in 45 days?
उत्तर
Let the amount of dust picked up by the earth in 45 days be x pounds.
\[\text{ Since the amount of dust picked up by the earth and the number of days are in direct variation, we have } : \]
\[\text{ Ratio of the dust picked up by the earth in pounds = ratio of the number of days taken } \]
\[ \Rightarrow \frac{10}{45} = \frac{2 . 6 \times {10}^8}{x}\]
\[ \Rightarrow x \times 10 = 45 \times 2 . 6 \times {10}^8 \]
\[ \Rightarrow x = \frac{45 \times 2 . 6 \times {10}^8}{10}\]
\[ = \frac{117 \times {10}^8}{10}\]
\[ = 11 . 7 \times {10}^8 \]
\[\text{ Thus } , 11 . 7 \times {10}^8 \text { pounds of dust will be picked up by the earth in 45 days } .\]
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