If it takes Ronaldo 40 seconds to cut a 10 inch by 10 inch square cake into 2 in

Question

If it takes Ronaldo 40 seconds to cut a 10 inch by 10 inch square cake into 2 inch by 2 inch pieces, how many seconds will it take for him to cut a 12 inch by 12 inch square cake into 2 inch by 2 inch pieces? In the game of rugby, scores can be earned in four different ways. A try is worth 5 points. After scoring a try, a team can get a conversion worth 2 points. It is not possible to score a conversion unless a try is scored first. There are also two different kinds of kicks. A penalty kick is worth 3 points, and a drop kick is also worth 3 points. Last week the Newcastle Falcons scored 29 points in a rugby match. In how many different ways could this have occurred? (You should consider scoring 3 points with a penalty kick to be different than scoring 3 points with a drop kick.)

Explanation / Answer

1.

total cuts required to cut a 10 x 10 into 2 x 2 are -

4 full cuts on length and then 4 full cuts on breath

total cutes required for 10 x 10 to convert into 2 x 2= 8

time taken for each cut = 40/8 = 5 sec

total cutes required for 12 x 12 to convert into 2 x 2= 10

time taken for each cut = 10*5 = 50 sec

(assumption is similar amount of time is taken in both the cases to cut the cake irrespective of the difference in the length)

if it is considered that the unit time taken in cutting along a length is proportional to its, then the answer would change to -

50 * 12/10 = 60 second

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