Friday, 19 May 2017

How's You Do?

I put this post up earlier (Cleffer or Duffer?) and promised you the answers.  Here we go:

Here is what a lot of people guess:

1. 10 pence
2. 100 minutes
3. 24 days
These answers would be wrong.
1. The ball would actually cost 0.05 pence
If the ball costs X, and the bat costs £1 more, then it will be:
X+£1
Therefore
Bat+ball=X + (X+1) =1.1
Thus
2X+1=1.1, and 2X=0.1
X= 0.05
2. It would take 5 minutes to make 100 widgets. 
Five machines can make five widgets in five minutes; therefore one machine will make one widget in five minutes too.
Therefore if we have 100 machines all making widgets, they can make 100 widgets in five minutes.
3. It would take 47 days for the patch to cover half of the lake
If the patch doubles in size each day going forward, it would halve in size going backwards. So on day 47, the lake is half full.
TInd

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