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Question
Madhu takes twice as much time as Uma to complete work and Ramesh does it in the same time as Madhu and Umatogether. If all three working together can finish the work in 6 days, then the time taken by Madhu to finish the work is
Options
36 days
36 days
12 days
12 days
14 days
14 days
40 days
40 days
Solution 1
Let Madhu do 1 unit work in a day.
So Uma will do 2 units/day and Ramesh will do 3units/day.
So they will do 6 units in a day.
As they together take 6 days to complete the work so the total work = 6 x 6 = 36 units. Hence Madhu alone will do the work in 36 days.
So, option 36 days is the correct answer.
Solution 2
Let Madhu do 1 unit work in a day.
So Uma will do 2 units/day and Ramesh will do 3units/day.
So they will do 6 units in a day.
As they together take 6 days to complete the work so the total work = 6 x 6 = 36 units. Hence Madhu alone will do the work in 36 days.
So, option 36 days is the correct answer.
