Question

Amanda can jog 18 miles in 5 hours. At this rate, how many miles can Amanda jog in 4 hours?

Answer 1

Hint: This question is based on unitary method. In this method, we are supposed to find the value of a single unit from the given multiple and then find the required solution by multiplying the unit value. In this particular question, we are given the number of miles jogged by Amanda in 5 hours. We will divide this distance by 5 to get the distance jogged by her in 1 hour. Then we will multiply this value by 4 to find the distance jogged by Amanda in 4 hours.

Complete step by step answer:
It is given in the question that Amanda can jog 18 miles in 5 hours.
To find the distance jogged by her in 1 hour, we will divide the distance jogged by her in 5 hours by. Therefore, the distance she can jog in 1 hour is given by $\dfrac{18}{5}=3.6$ miles.
Now, to find the distance Amanda can jog in 4 hours, we have to multiply the distance she can jog in one hour by 4.
Therefore, the distance she can work in 4 hours will be $4 \times 3.6$ miles = 14.4 miles.

Note: To understand the unitary method better, let us consider another example. Suppose, the cost of 3 pens is Rs 15. Now to find the cost of 5 pens, first we will find the cost of 1 pen. This can be done by dividing the cost of 3 pens by 3. Therefore, the cost of 1 pen will be $\dfrac{15}{3}$ = 5. Thus, the cost of 1 pen is Rs. 5. Now to find the cost of 5 pens, we will multiply the cost of 1 pen by 5. Therefore, the cost of 5 pens is (Rs 5 5) = Rs. 25. There can be many more problems such as examples to understand unitary methods better.