Question

Saturn and Jupiter take 9 hours 56 min and 10 hours 40 min, respectively for one spin on their axes. Find the ratio of the time taken by Saturn and Jupiter in lowest form.

Answer 1

Time taken by Saturn for one spin = 9h 56min
= (9 $\times$ 60 + 56) min [$\therefore$ 1h = 60min]
= 596 min

Time taken by Jupiter for one spin = 10h 40min
= (10$\times$ 60 + 40) min [$\therefore$ 1h = 60min]
= 640 min

Ratio of time taken by Saturn to Jupiter for one spin = $\frac{596}{640}$
= $\frac{149}{160}$ [on dividing numerator and denominator by 4]
= 149 : 160

Hence, the ratio of the time taken by Saturn and Jupiter for one spin in lowest form is 149 : 160.