Would it make a difference?

Logic Level 4

I have 4 hourglasses: Hourglass A measured 7 minutes, Hourglass B measured 11 minutes, Hourglass C measured 23 minutes, Hourglass D measured 37 minutes.

If the objective is to minimize the number of times to turn the hourglasses, which 2 of the 4 hourglasses should I choose if I want to measure 71 minutes?

This is the continuation of my other problem .
Image Credit: Flickr oozhan .
Hourglass A and Hourglass D Hourglass C and Hourglass D Hourglass A and Hourglass C Hourglass B and Hourglass D Hourglass B and Hourglass C Hourglass A and Hourglass B

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

汶良 林
Aug 10, 2015

23×4 - 7×3 = 71

turn 4 + 3 = 7 times

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Yeah but for completeness, you need to show that the other pairs needs more than 7 turns.

Pi Han Goh - 5 years, 10 months ago

Yes but it also could be 7x7=49 2x11=22 and 22+49=71

Szymon Wcislo - 5 years, 1 month ago

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