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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 ______. - Mathematics

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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 ______.

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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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Chapter 8: Ratio and Proportion - Exercise [Page 123]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 8 Ratio and Proportion
Exercise | Q 45 | Page 123

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