Relax, it's just 50,000 Bytes under the sea!

Level pending

Cynthia was sleepwalking while texting her phone (don't ask) late up at night. Since her special handy-dandy super-ultra-strong blindfold was still on, she did not notice that she took a three second bath in the lake with her phone. Assuming that bytes are lost in water at the rate of 4 × 1 0 11 4 \times 10^{11} , how much data, in gigabytes , are lost from that incident?

Round your answer to the nearest whole number.


The answer is 1118.

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1 solution

Kevin Mo
Jan 16, 2014

This problem is fairly simple; the only hard part is changing bytes to gigabytes.

She stayed in the pool for 3 seconds.

3 × 4 E 11 = 1.2 E 12 3 \times 4E11 = 1.2E12

Our answer 1.2 E 12 1.2E12 is still in terms of bytes. However we can fix this; one Gigabyte is equal to 1073741824 bytes. Following this conversion rate, our answer and formula is clear.

1.2 E 12 1073741824 \frac{1.2E12}{1073741824}

If a calculator is near you, you should get 1117.587089.... 1117.587089.... Now round to the nearest whole number.

1117.587089.... 1118 1117.587089.... \Rightarrow 1118

So our answer is rounded up, 1118 \boxed{1118} Gigabytes of storage lost! And that kids, is why you should never jump into a pool with your phone next to you.

Thanks guys for viewing this problem. It means a lot to me having a bunch of people studying at Brilliant looking for a challenge in my problem set. Thanks guys! I will hopefully create more problems in the near future.

Kevin Mo - 7 years, 4 months ago

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