Answer to Question #132192 in Algebra for Nhlosenhle

Question

In week 1, Mpho deep cleans a paving at 4m pee hour.how long will it take her to deep clean an area of 12m long and 6m wide

Answer 1

A paving is probably rectangular, so the question should be displayed as 'In week 1, Mpho deep cleans a paving at 4m² per hour. How long will it take her to deep clean an area of 12m long and 6m wide'

Solution

Rate of cleaning the pavement is 4 m²/h

i.e. V₀ = 4 m²/h

And area of the pavement to be cleaned is

A = L × W

= 12 m × 6 m

= 72 m²

Keeping the rate of cleaning constant, we have;

Time = Area / Rate

T = A / V

Putting this back, we have;

T₀ = A / V₀

= 72 m² / 4 m²/h

= 18 h

Therefore, time needed for her to clean the area is 18 hours.