If Roger can do a piece of work in 8 days and Antony can complete the same work in 5 days, in how many
days will both of them together complete it?
Answers
Answer:
If Roger can do a piece of work in 8 days and Antony can complete the same work in 5 days, in how many days will both of them together complete it? Therefore, both Roger and Antony will complete the work in 40/13 = 3 and 1/3 days.
Given : Roger can do a piece of work in 8 days
Antony can complete the same work in 5 days,
To Find : in how many days will both of them together complete the work
Solution:
Roger can do a piece of work in 8 days
=> Roger 1 day work = 1/8
Antony can complete the same work in 5 days,
=> Antony 1 day work = 1/5
Together both 1 day work = 1/8 + 1/5
= (5 + 8)/40
= 13/40
Both will completer the wrok in 1/(13/40) = 40/13 days
= 3.077 days
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