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kanishk raj

· started a discussion

· 1 Months ago

total unit of work (Question: 191749.0 )

how can we take total units of work as 90 . plz explain

Question:
A is thrice as efficient as workman as B and is therefore, able to finish a piece of work in 60 days less than B. The time taken (in days) in which they can do it working together is –
Options:
A) 22
B) 22 \(\cfrac{1}{2}\)
C) 23
D) 23\(\cfrac{1}{4}\)
Solution:
Ans: (b)


Knowledge Expert

· commented

· 1 Months ago

Dear student,
Explanation-
A can do any work in X-60 days ,
B can do any work in X day,
Ratio between the work efficiency of A and B= 3/1
Efficiency is inversely proportional to number of days
thus
A/B => 3/1= X/(X-60)
After solving X= 90
so,
A can do the work in 30 days
B can do the work in 90 days.

Both can a work together= (1/30+1/90)= 4/90 part
number of days = 90/4= 22 1/2 days is answer,

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