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Question

# It took 45 minutes to clean a portion of restaurant. However 'x' m2area of restaurant is still left. To make the process faster, it is decided to clean every 1 m2 of the remaining area in every 0.35 minutes. If 't' is the total time taken to clean the entire restaurant, select the function that represents the total time taken.

A
t = 45 - 0.35x
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B
x = 45 - 0.35t
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C
x = 45 + 0.35t
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D
t = 45 + 0.35x
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Solution

## The correct option is D t = 45 + 0.35xHere, total time taken will be the output = t Number of minutes took to clean a portion of restraurant = 45 To increase the process it is cleaned at a rate of 1 m2 per 0.35 minutes ∴ Time taken to clean x m2 of remaining area=0.35x So, total time taken = Number of minutes taken to clean a portion of restaurant + time taken to clean remaining x m2 ⟹ t=45+0.35x

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