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Mohanrao took $10$ days to finish a book, reading $40$ pages everyday. How many pages must he read in a day to finish it in $8$ days?

Last updated date: 13th Jul 2024
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Hint: As we know that the above given question is a word problem. A problem is a mathematical question written as one sentence or more describing a real life scenario where that problem needs to be solved by the way of mathematical calculation. We can solve the given problem by first calculating the total number of pages in the book and then we solve it.

Complete step-by-step answer:
We need to first understand the requirement of the question which is the page count per day.
We have been given that it took Mohanrao $10$ days to finish a book, reading $40$ pages everyday.
So we can calculate the number of pages in the book i.e. $10 \times 40 = 400$.
Now let us assume that the number of pages he should read per day is $x$.
 We have a total number of pages $ = 400$ and also that the book should be completed in $8$ days.
So we can create the expression that : Total days $ \times $ pages per day $ = $Total pages in the book .
By putting the values we have: $8x = 400$ . It gives us the value $\dfrac{{400}}{8} = 50$.
Hence he must read $50$ pages per day to complete the book in $8$ days.
So, the correct answer is “ $50$ days”.

Note: We should always be careful what the question is asking. Based on the requirement and by observing all the necessary information that is already available in the question we gather the information and then create an equation or by unitary method whichever is applicable, then we solve the problem and then verify the answer by putting the value in the problem and see whether we get the same answer or not.