Lily Pads

Algebra Level 1

In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?

24 12 36 47

Terry Yu by Terry Yu , 17, USA

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2 solutions

Terry Yu
Aug 17, 2017

This is a tricky question and many are tempted to answer 24 days. However, it is not.

x = 2 48 x=2^{48}

2 − 1 x = 2 − 1 ∗ 2 48 2^{-1}x=2^{-1}*2^{48}

0.5 x = 2 47 0.5x=\large\color{#D61F06}\boxed{2^{47}}

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Honestly it is not so tricky now because there are so many problems like this on brilliant!

Syed Hamza Khalid - 3 years, 9 months ago

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yes,i have solved at least 10 similar problems in brilliant.

Mohammad Khaza - 3 years, 8 months ago

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Yeah what you said is true

Syed Hamza Khalid - 3 years, 8 months ago
Munem Shahriar
Sep 5, 2017

Every day, the patch doubles in size. So 2 × 0.5 = 1 2 \times 0.5 = 1

Half of 2 is 1, hence 48 − 1 = 47 48 - 1 = \boxed{47}

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