Question : 4 men and 8 women complete a job in 10 days and 5 men and 24 women complete the same work in 4 days. In how many days will 1 man and 1 woman complete the same work?
Option 1:
Option 2:
Option 3:
Option 4:
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Correct Answer:
Solution :
Let 1 man's and 1 woman's 1 day's work be
4 men and 8 women complete a job in 10 days.
Then
5 men and 24 women complete the same work in 4 days.
Then
Multiplying equation (i) by 5 and equation (ii) by 4, we get,
Subtracting (iii) from (iv)
⇒
⇒
Putting the value of y in equation (iii) we get,
⇒
⇒
⇒
1 man and 1 woman in 1 day can complete
Hence, the correct answer is