Question

Jeremy finished 3 puzzles in 266 minutes. The second puzzle took twice as long as the first one and the third puzzle took twice as long as the second one. How long did the third puzzle take?

Answer 1

The third puzzle took 152 minutes.

Explanation:

Given that,

Jeremy finished 3 puzzles in 266 minutes.

The second puzzle took twice as long as first.

The third puzzle took twice as long as the second one.

Assume that, the first puzzle took x minutes.

So, Second puzzle took= 2x minutes.

Third puzzle took =2(2x) minutes

=4x minutes

According to the problem,

x+2x+4x=266

⇒7x=266

`\Rightarrow x=(266)/(7)`

⇒x=38 minutes

The third puzzle took = (4×38) minutes

=152 minutes