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Question
Saturn and Jupiter take 9 hours 56 minutes and 10 hours 40 minutes, respectively for one spin on their axes. The ratio of the time taken by Saturn and Jupiter in lowest form is ______.
Solution
Saturn and Jupiter take 9 hours 56 minutes and 10 hours 40 minutes, respectively for one spin on their axes. The ratio of the time taken by Saturn and Jupiter in lowest form is 149:160.
Explanation:
Time taken by Saturn = 9 hours 56 minutes
= (9 × 60 + 56) minutes
= (540 + 56) minutes
= 596 minutes
Time taken by Jupiter = 10 hours 40 minutes
= (10 × 60 + 40) minutes
= 640 minutes
∴ The required ratio = `"Time taken by Saturn"/"Time taken by Jupiter"`
= `(596 "minutes")/(640 "minutes")`
= `149/160` = 149:160
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