53. Rama can do a piece of work in 10
days and sham in 15 days. If both of
them work together, how long will
they take to finish the work?
(A) 2 days (B) 12 days
(C) 6 days (D)
9 days
Answers
Answer:
Ram takes 20 days to complete a piece of work.
Shyam takes 30 days to complete a piece of work.
Ram completes (1/20) of a piece of work in 1 day.
Shyam completes (1/30) of a piece of work in 1 day.
Together R and S complete (1/20) + (1/30) = (1/12) of a piece of work in 1 day.
(1/12) of a piece of work - 1 day
(12/12) of a piece of work - (12/12)/(1/12) = 12 days.
R and S take 12 days to complete a piece of work when they work together
Answer:
To finish the work it takes 12 days.
Step-by-step explanation:
From the above question,
Ram takes 20 days to complete a piece of work.
Shyam takes 30 days to complete a piece of work.
Ram completes (1/20) of a piece of work in 1 day.
Shyam completes (1/30) of a piece of work in 1 day.
Together R and S complete (1/20) + (1/30) = (1/12) of a piece of work in 1 day.
A can complete a piece of work on 15 days
B can complete the same work in 12 days.
(1/12) of a piece of work - 1 day
(12/12) of a piece of work - (12/12)/(1/12) = 12 days.
R and S take 12 days to complete a piece of work when they work together.
A can complete a piece of work on 15 days.
In one day, work done by A = 1/15
B can complete the same work in 12 days.
In one day, work done by B = 1/12
Let's assume both A and B take x days to finish the work together.
In one day, work done by A and B together = 1/x
To finish the work it takes 12 days.
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