Question

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Answer 1

2.
Simple this type of questions is solved by unitary method :

5 machine make 5 widgets in = 5 minutes

1 machine make 5 widgets in = 5 × 5 minutes = 25 minutes

1 machine make 1 widgets in = 25 ÷ 5 minutes = 5 minutes.

So, 1 machine make 100 widgets in = 5 × 100 minutes = 500 minutes

now, 100 machine make 100 widgets in = 500 ÷ 100 minutes = 5 minutes.

3.
The answer is 47 days, because if the lake is half full at day 47 and the patch doubles every day, then on day 48 the lake must be entire full.

Answer 2

Hey mate!

Here's your answer!!

1) An intuitive response would be that “5=5=5 so 100=100=100“.

However, if it takes a single machine 5 minutes to make a single widget, even a million machines can make a million widgets in 5 minutes.

The correct answer is therefore 5 minutes.

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2) The common intuitive response would be, “half the pond would be covered in half the time, so 48/2=24 days“.

However, this ignores the exponential growth of the lily pads. Try working it backwards, if the pond is covered after 48 days, and they double in size every day, then day 47 would be half covered.

The correct answer is 47 days.

$hope \: it \: helps \: you.....$
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