Questions & Answers

Question

Answers

a. 6

b. 36

c. 360

d. 3,600

e. 4,000

Answer
Verified

We have been given in the question that, 2 tons of snow fall in 1 minute and we have been asked to find the tons of snow fall in 3 hours.

We will first assume the tons of snow fall in 3 hours as x tons.

Now, we will convert 3 hours into minutes. And we know that 1 hour = 60 minutes so,

$3\text{hours}=3\times 60\text{minutes}$

So, we get,

3 hours = 180 minutes

Hence, we get that the time taken for x tons of snow fall is 180 minutes.

Now, we will use the concept of ratio and proportion. We know that 2 tons of snow fall in 1 minute. And also, we have found the time for x tons of snow fall in terms of minutes as 180 minutes.

So, we can write the ratio of tons of snow fall to the time taken for the snow fall as,

$\dfrac{\text{tons}}{\text{min}}\text{=}\dfrac{2}{1}\text{=}\dfrac{\text{x}}{\text{180}}$

On cross multiplying the above ratio, we will get,

$\begin{align}

& 2\times 180=1\times x \\

& 360=x \\

\end{align}$

That is, we get x = 360 tons.

Therefore, we get that the tons of snow fall in 3 hours is equal to 360 tons.

Also, the students can convert 1 minute into hours and then proceed and they will get the same answer. In order to convert minutes into hours, we have to divide it by 60.