Question

450 m
5
A vacuum cleaner cleans a floor area of 10 m2 every 4 minutes. How much
floor area does it clean in half an hour?​

Answer 1

Given,

The vacuum cleaner cleans floor area of 10 square metre in 4 minutes.

To find,

The area of floor that the vacuum cleaner will clean in half an hour.

Solution,

We can easily solve this mathematical problem by the following mathematical process.

Total time = 4 minutes = 240 seconds

(Term of unit conversion = 1 minute = 60 seconds)

Given time = 30 minutes = 1800 seconds

Now, the vacuum cleaner

Cleans in 240 seconds = 10 m²

Cleans in 1 second = 10/240 m²

Cleans in 1800 seconds = 1800×10/240 = 75 m²

Hence, the vacuum cleaner will clean 75m² of floor.

Answer 2

SOLUTION

GIVEN

A vacuum cleaner cleans a floor area of 10 m² every 4 minutes.

TO DETERMINE

The floor area vacuum cleaner cleans in half an hour

EVALUATION

Half an hour = 30 min

SOLVE USING RULES OF THREE

We write the given problem in the table as below :

$\sf{ \: \: \: \: \: \: \: Time \: (Min) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Area \: ( {m}^{2} ) }$

$\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 10}$

$\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 30 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:? }$

Here Time and Area are in direct proportion

As Time increases area will also increase

Hence the required area

$\displaystyle \sf{ = 10 \times \frac{30}{4} } \: \: {m}^{2}$

$\sf{ = 75 \: \: \: {m}^{2} }$

FINAL ANSWER

The floor area vacuum cleaner cleans in half an Hour is 75 m²

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