Answer

Verified

427.8k+ views

Hint: Use unitary method to first find out the rate at which the rain falls. Then multiply it with the number of days to get the total amount asked for in the question.

It is given to us that it has rained 276mm in 3 days. Let’s first find out the rate at which the rain falls, in terms of mm/day.

To do so, we can simply divide the amount of rain received by the number of days it was received over. We already know that the amount of rain received = 276mm and the period it was received over = 3days, since this is already given in the question.

Therefore, the rate at which the rain falls = $\dfrac{amount}{days}=\dfrac{276mm}{3days}=92mm/day$.

Therefore, we now have the rate of rainfall, or the amount of rain that falls in one day. The rate is thus = 92 mm/day, or we get 92 mm of rainfall in one day.

Now, we can simply use a unitary method, to find out the amount of rain received in 7 days, or a week.

We know that in one day, the amount of rainfall received = 92mm.

Therefore, the amount of rainfall received in $x$ days = $92x$ mm.

Here, $x$ is equal to 7. Therefore, the amount of rainfall received in a week, or in 7 days = $92x=92\times 7mm=644mm$

Therefore, the amount of rainfall received in a week = 644mm.

However, we have been asked the amount in cm. Thus, we have to divide the amount by 10, since the amount we have got is in mm.

Therefore, the amount of rainfall we will receive in one week, assuming that the rate remains constant = $\dfrac{644}{10}cm=64.4cm$.

Thus, we will receive 64.4 cm of rainfall in a week, assuming the rate remains unchanged.

Note: This is a pretty straightforward question involving basic unitary method, to find out the answer. However, in this question we had to assume that the rate of rainfall remains the same everyday. We could also have a question where the rate changes everyday, and in that case, we’d have to be careful while calculating the actual answer.

It is given to us that it has rained 276mm in 3 days. Let’s first find out the rate at which the rain falls, in terms of mm/day.

To do so, we can simply divide the amount of rain received by the number of days it was received over. We already know that the amount of rain received = 276mm and the period it was received over = 3days, since this is already given in the question.

Therefore, the rate at which the rain falls = $\dfrac{amount}{days}=\dfrac{276mm}{3days}=92mm/day$.

Therefore, we now have the rate of rainfall, or the amount of rain that falls in one day. The rate is thus = 92 mm/day, or we get 92 mm of rainfall in one day.

Now, we can simply use a unitary method, to find out the amount of rain received in 7 days, or a week.

We know that in one day, the amount of rainfall received = 92mm.

Therefore, the amount of rainfall received in $x$ days = $92x$ mm.

Here, $x$ is equal to 7. Therefore, the amount of rainfall received in a week, or in 7 days = $92x=92\times 7mm=644mm$

Therefore, the amount of rainfall received in a week = 644mm.

However, we have been asked the amount in cm. Thus, we have to divide the amount by 10, since the amount we have got is in mm.

Therefore, the amount of rainfall we will receive in one week, assuming that the rate remains constant = $\dfrac{644}{10}cm=64.4cm$.

Thus, we will receive 64.4 cm of rainfall in a week, assuming the rate remains unchanged.

Note: This is a pretty straightforward question involving basic unitary method, to find out the answer. However, in this question we had to assume that the rate of rainfall remains the same everyday. We could also have a question where the rate changes everyday, and in that case, we’d have to be careful while calculating the actual answer.

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

What is BLO What is the full form of BLO class 8 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Mule is a offspring of A Cross breeding B Interspecific class 11 biology CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE