Questions & Answers

Question

Answers

Answer

Verified

146.4k+ views

Hint: Use the unitary method to solve this question. First, find the words typed by Reema in 1 minute and then multiply it with the number of minutes which is asked in the question to get the answer.

Complete step-by-step answer:

Here, we are given that Reema types 540 words in 30 minutes. We have to find the number of words in that she would be able to type in 6540 minutes. Before proceeding with this question, we must know what the unitary method is. The word unitary refers to a single or an individual unit. Hence, this method aims at determining the values in relation to a single unit. For example, if the cost of 10 bananas is 140 rupees, then we can use a unitary method to find the cost of 1 banana. In other words, the unitary method is a technique for solving a problem by first finding the value of a single unit and then finding the necessary value by multiplying the single unit value. In essence, this method is used to find the value of a unit from the value of a multiple and the value of a multiple.

Now, let us consider the information given in the question. We are given that in 30 minutes, the total words typed by Reema = 540 words.

Now, to get the words typed by Reema in1 minute, we will divide the total number of words with the total time. So, we get,

The total number of words typed by Reema in 1 minute \[=\dfrac{540}{30}=18\text{ words}\].

Now, to get the number of words typed by Reema in ‘n’ minutes, we will multiply ‘n’ by the number of words typed by Reema per minute. So, we get,

The total number of words typed by Reema in ‘n’ minutes = 18n words.

So, to get the number of words that Reema would be able to type in 6540 minutes, we substitute n = 6540 in the above equation, we get,

The total number of words that Reema would be able to type in 6540 minutes = 18 x 6540 = 117,720 words.

So, Reema would be able to type 117,720 words in 6540 minutes.

Note: Students must learn to use the unitary method properly as this method finds its practical application everywhere ranging from speed, distance, time to problems related to calculating the cost of materials. Also, learn to distinguish between the number of units and the value of units properly. Also, some students make this mistake of dividing 30 by 540 instead of dividing 540 by 30 to calculate the words for 1 minute, so this mistake must be taken care of.

Complete step-by-step answer:

Here, we are given that Reema types 540 words in 30 minutes. We have to find the number of words in that she would be able to type in 6540 minutes. Before proceeding with this question, we must know what the unitary method is. The word unitary refers to a single or an individual unit. Hence, this method aims at determining the values in relation to a single unit. For example, if the cost of 10 bananas is 140 rupees, then we can use a unitary method to find the cost of 1 banana. In other words, the unitary method is a technique for solving a problem by first finding the value of a single unit and then finding the necessary value by multiplying the single unit value. In essence, this method is used to find the value of a unit from the value of a multiple and the value of a multiple.

Now, let us consider the information given in the question. We are given that in 30 minutes, the total words typed by Reema = 540 words.

Now, to get the words typed by Reema in1 minute, we will divide the total number of words with the total time. So, we get,

The total number of words typed by Reema in 1 minute \[=\dfrac{540}{30}=18\text{ words}\].

Now, to get the number of words typed by Reema in ‘n’ minutes, we will multiply ‘n’ by the number of words typed by Reema per minute. So, we get,

The total number of words typed by Reema in ‘n’ minutes = 18n words.

So, to get the number of words that Reema would be able to type in 6540 minutes, we substitute n = 6540 in the above equation, we get,

The total number of words that Reema would be able to type in 6540 minutes = 18 x 6540 = 117,720 words.

So, Reema would be able to type 117,720 words in 6540 minutes.

Note: Students must learn to use the unitary method properly as this method finds its practical application everywhere ranging from speed, distance, time to problems related to calculating the cost of materials. Also, learn to distinguish between the number of units and the value of units properly. Also, some students make this mistake of dividing 30 by 540 instead of dividing 540 by 30 to calculate the words for 1 minute, so this mistake must be taken care of.