Question

Addison plays $\dfrac{1}{2}$ of a song $\dfrac{1}{8}$ of a minute. How much time will he need to play a full song?
(a) 15 seconds
(b) 20 seconds
(c) 30 seconds
(d) None of these

Answer 1

Hint: To start with, we are given Addison plays $\dfrac{1}{2}$ of a song $\dfrac{1}{8}$ of a minute. And we are to find how much time he will need to play the full song. Now, we can easily calculate how many minutes Addison will take to play the full song. Now, for further simplification, we also know, 1 minute equals 60 seconds. Thus we can also transform the time into seconds to reach our desired answer.

Complete step by step solution:
According to the problem, Addison plays $\dfrac{1}{2}$ of a song $\dfrac{1}{8}$ of a minute.
So, Addison played the full song in double time.
Thus, we get Addison playing the whole song in the time, $=\left( 2\times \dfrac{1}{8} \right)$ minutes $=\dfrac{1}{4}$ minutes.
Now, we also know, 1 minute gives us 60 seconds.
So, here we are dealing with $\dfrac{1}{4}$ minutes .
Again, $\dfrac{1}{4}$ minutes $=\left( \dfrac{1}{4}\times 60 \right)$ seconds = 15 seconds.

So, the correct answer is “Option A”.

Note: This is always to be considered an easy problem to get the solution. But still we have to be cautious about the problem and the calculations given out there. Easier problems can get easily wrong with silly mistakes and give us wrong results. So, taking care of that is quite important.