If one person can clean a house in 5 hours and second person can clean...

Hayley Bernard

Hayley Bernard

Answered

2022-07-25

If one person can clean a house in 5 hours and second person can clean the same house in 4 hours, how long will it take to clean the house if they work together?
a) 9 hours
b) 4.5 hours
c) 22/9 hours
d) 1 hour

Answer & Explanation

umshikepl

umshikepl

Expert

2022-07-26Added 11 answers

Step 1
Given that one person can clean the house in 5 hours and second person can clean in 4 hours.
House clean by one person in one hours = 1 5 unit
house clean by second person in one hour = 1 4 unit
when they work together
Then house clean by both in one hour = ( 1 5 + 1 4 ) unit
= 9 20 u n i t
Step 2
Since = 9 20 u n i t cleaning is completed by both in one hours
hence 1 unit cleaning is completed by both in 1 ( 9 20 ) hours
= 20 9 hours
= 2 2 9 hours
Thus total time taken is = 2 2 9 hours.
Option (c) is correct.

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