Question

if 10 persons can clean 10 floors by 10 mops in 10 days how many days can 8 persons clean 8 floors using 8 mops

Answer 1

If 10 persons can clean 10 floors by 10 mops in 10 days, in how many days can 8 persons clean 8 floors by 8 mops?

hope it helps u

Answer 2

Answer:

10 days

Step-by-step explanation:

Concept:

The problem is related to ratios and proportions. Number of people, Amount of work and Time can be compared as

Let number of people be P

Work Done is W

Time taken to complete is T

It can be represented as PT/W

If we are comparing 2 different tasks we can compare them as

$P1 T1 / W1 = P2 T2 / W2$

Solution:

Here given that 10 persons can clean 10 floors by 10 mops in 10 days

So, P1 = 10 [as 10 persons are there]

T1 = 10 [ as they complete in 10days ]

W1 = 10 [ 10 floors and 10 mops are considered together here]

Similarly we need to find How many days can 8 persons clean 8 floors using 8 mops.

So, P2 = 8

T2 = ?

W2 = 8

$P1T1/W1 = P2T2/W2\\P1*T1*W2 = P2*T2*W1\\10*10*8 = 8*T2*10\\T2 = 800/80\\T2 = 10 days$

So, 8 persons clean 8 floors using 8 mops in 10 days.

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