Question

Find the percentage: 40 seconds of $2$ min $40$ seconds

Answer 1

Hint: First, we will need to know how to convert the minutes, seconds, hours into one another.
The basic conversation of the time is one hour and sixty minutes and represented as $1h = 60\min $. Also we know that the conversion of one minute in seconds is sixty, that is $1m = 60\sec $.
From this information, we are able to find the required answer for the given question.

Complete step by step answer:
We know that from the basic one hour is sixty minutes and one minute is sixty seconds.
From the given that, first convert the $2$ min $40$ seconds into the form of only seconds.
Which is two minutes can be rewritten in the form of seconds as $2 \times 60$(where one minute is sixty seconds and that will be multiplied again to get two times)
Hence, we get for two minutes is one hundred twenty seconds $2 \times 60 = 120\sec $
Also, there are another fourth seconds which is given as $2$ min $40$ seconds, thus we need to add the fourth seconds into the $2 \times 60 = 120\sec $to get $2$ min $40$ seconds as $120\sec + 40\sec $
Now by the help of additional operations we get, $2$ min $40$ seconds as$160\sec $.
Now we are going to find the percentage of fourth seconds with the one sixty seconds to get $40$seconds of $2$ min $40$ seconds.
That is $\dfrac{{40}}{{160}} \times 100$where fourth is the percent that we need, one sixty is the base to find that
Hence solving this by use of multiplication and division operation we get, $\dfrac{{40}}{{160}} \times 100 \Rightarrow \dfrac{1}{4} \times 100 \Rightarrow 25$
Therefore, $40$ seconds of $2$ min $40$ seconds are in percentage as $25\% $

Note: Since we need to find the required $40$ seconds in the given $2$ min $40$ seconds, so we used the concept of percentage for the solution.
We need to know about the percentage, which means a number or a given ratio will be represented in the form of fractions of $100$
The percentage is the relative value that will indicate the hundredth parts of a given quantity.
Like $70\% of 40 = 28$ here, seventy is the percent and fourth is the base and twenty-eight is the part.
$probability = \dfrac{{favorable}}{{total}}$
In the probability form, $40$ seconds of $2$ min $40$ seconds are$\dfrac{1}{4}$.