Quenching my thirst!

Logic Level 2

I have a 1 litre bottle. I go to the watertap , fill 100 ml of water and then drink 20 ml of it, then again fill 100 ml of water and again drink 20 ml of it and so on.If the tap takes 10 seconds to fill 100 ml of water. If I take 2 seconds to drink 20 ml.Then after how much seconds my bottle will get filled.


The answer is 148.

Abhay Tiwari by Abhay Tiwari , 28, India

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2 solutions

Saya Suka
Mar 4, 2021

Answer
= floor[ 1000mL / (100mL - 20mL) ] × (10s + 2s) + remainder[ 1000mL / (100mL - 20mL) ] × ( 10s / 100mL )
= 12 × 12 + 40 × (0.1)
= 144 + 4
= 148 seconds


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The following is the most descriptive and easiest method:

F - Filling activity completed here D - Drinking activity completed here

Here we go

  • 100mL F
  • 80mL D
  • 180mL F
  • 160mL D
  • 260mL F
  • 240mL D
  • 340mL F
  • 320mL D
  • 420mL F
  • 400mL D
  • 500mL F
  • 480mL D
  • 580mL F
  • 560mL D
  • 660mL F
  • 640mL D
  • 740mL F
  • 720mL D
  • 820mL F
  • 800mL D
  • 900mL F
  • 880mL D
  • 980mL F
  • 960mL D
  • 1000mL (only 40L added) F

Now, since 100ml takes 10 seconds to fill up, then in 1 sec it can fill 10 mL

So 40 mL is filled in 4 seconds. now filling and drinking activities take 12 seconds. Counting the number of pairs of F and D, we get 11 pairs.

That makes it, 11 x (10+2) = 132 seconds

Now that additional 4 seconds, : 132+4=136 seconds. and now, the initial filling activity and the final drinking activity (which unfortunatly got left out, poor guy) makes the total: 136 + 2 + 10 = 148 seconds

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