
Jatin types 750 words in an hour. How many words would he type in 20 minutes?
Answer
559.2k+ views
Hint: We start solving the problem by recalling the fact that one hour is equal to sixty minutes. We then assign the variable for the words that Jatin can type in one minute. We then find the value of this variable by dividing the total no. of words typed in one hour by the total number of minutes in one hour. We then multiply the obtained result by 20 to get the total words that Jatin can type in 20 minutes.
Complete step-by-step solution
According to the problem, we are given that Jatin types 750 words in an hour and we need to find how many words he would type in 20 minutes.
We know that one hour is equal to sixty minutes. i.e., 1 hour = 60minutes ---(1).
Let us assume the total no. of words that can type by Jatin in one minute be ‘x’ words.
So, we get $60\times x=750$.
$\Rightarrow x=\dfrac{750}{60}$.
$\Rightarrow x=12.5$ words.
Now, let us say that Jatin can type in 20 minutes.
So, we have $20\times 12.5=250$ words.
∴ We have found that Jatin can type 250 words in 20 minutes.
Note: We can see that 20 minutes is $\dfrac{1}{3}$ of the hour. This tells us that Jatin can type $\dfrac{1}{3}$rd of the total words typed in an hour which will be 250 words. Here we assumed a variable for the total number of words typed in 1 minute to avoid confusion. We should not take the nearest integer value for ‘x’ as it will change the required answer to the problem. Similarly, we can expect problems to find the total number of words that Jatin can type in 5 hours 30 minutes.
Complete step-by-step solution
According to the problem, we are given that Jatin types 750 words in an hour and we need to find how many words he would type in 20 minutes.
We know that one hour is equal to sixty minutes. i.e., 1 hour = 60minutes ---(1).
Let us assume the total no. of words that can type by Jatin in one minute be ‘x’ words.
So, we get $60\times x=750$.
$\Rightarrow x=\dfrac{750}{60}$.
$\Rightarrow x=12.5$ words.
Now, let us say that Jatin can type in 20 minutes.
So, we have $20\times 12.5=250$ words.
∴ We have found that Jatin can type 250 words in 20 minutes.
Note: We can see that 20 minutes is $\dfrac{1}{3}$ of the hour. This tells us that Jatin can type $\dfrac{1}{3}$rd of the total words typed in an hour which will be 250 words. Here we assumed a variable for the total number of words typed in 1 minute to avoid confusion. We should not take the nearest integer value for ‘x’ as it will change the required answer to the problem. Similarly, we can expect problems to find the total number of words that Jatin can type in 5 hours 30 minutes.
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