Question

A student type \[174\] words in \[3\] min and \[348\] words in \[6\] min. How many words can the student type in \[8\] min?

Answer 1

Hint: We are provided that a student types \[174\] words in \[3\]min and \[348\] words in \[6\] min . We need to find the same student types how many words in \[8\] min.
To do this question firstly we need to find the rate at which a student is typing and then we will multiply the rate with the desired time.
We can also find it by unitary method.
Unitary method is the method where first we evaluate the value of a unit and then the required quantity.

Complete step by step solution:
Here, we are given that
No. of words a student type in \[3\] min \[ = \] \[174\] words
No. of words a student type in \[6\] min \[ = \]\[348\] words
Now we need to find the rate at which the student is typing,
So, to find rate we need to divide the word typed by the time taken
Rate \[ = \] words ÷ time
So, we will find rate
Rate \[ = \dfrac{{174}}{3}\]
\[ = 58\]
Rate at which student is typing is \[58\] words/minutes
Therefore,
Number of words typed in \[8\]min
$ = $ Rate \[ \times 8\]
Number of words typed in \[8\]min \[ = \] \[58 \times 8\]
\[ = \] \[464\]words
So, the student typed \[464\] words in \[8\]min

FINAL ANSWER: Therefore, we conclude that the student typed \[464\] words in \[8\] min.

Note: Students must make sure that there is no calculation mistake while dividing as it could lead to incorrect answers leading to difficulty and incorrect answers. Students must ensure that they must calculate the rate of both statements and check that both rates are the same. It is important to specify the unit for rate in words per minute. Students should not escape it as it will be considered wrong until we specify the unit for it.