Question

Neha travels 73 km in 57 minutes. How many minutes will she take to travel 438 km?

Answer 1

Hint: Here, we will find the time taken by her to travel $1{\text{km}}$ using the unitary method. Then we will multiply the 438 to the obtained time to find the required minutes in which she travels the required distance.

Complete step-by-step answer:
According to the question,
Time taken by Neha to travel 73 km $ = {\text{57minutes}}$
Now we will use the unitary method and find the time taken by Neha to travel 1km.
So, divide both sides by 73, we get
$ \Rightarrow $ Time taken by Neha to travel 1km $ = \dfrac{{{\text{57}}}}{{73}}{\text{minutes}}$
Now we can find time taken by her to travel 438 km by multiplying both the sides by 438.
Therefore, we get,
Time taken by Neha to travel 438 km $ = \dfrac{{57}}{{73}} \times 438$
Dividing 438 by 73, we get
$ \Rightarrow $ Time taken by Neha to travel 438 km $ = 57 \times 6$
Multiplying the terms, we get
$ \Rightarrow $ Time taken by Neha to travel 438 km $ = 342{\text{minutes}}$
Therefore, she will take 342 minutes to travel 438 km.
Hence, this is the required answer.

Note: Unitary method is a method in which we find the value of a single unit. So, in order to calculate the required value, we multiply both the sides by the given value to find our required answer. Hence, this method is used to evaluate the price of goods, to determine profit and loss in a business and so on. In this question as well, we were given the time taken to travel 73 km, so to find the time taken for 438 km distance, we used time taken to travel 1 km.