36. Ankith takes as long Balaji and Chandu together take to
finish a task. Ankith and
Balaji working together finish
the task in (10 days. Chandu
alone can do the same task in
15 days. In how many days can
Balaji alone complete the
same task?

60 days

Explanation:

Given that:

Time taken by Chandu alone = 15 days

Time taken by Chandu and Balaji (working together = 10 days

Chandu's work rate = 1/ time taken = 1/15

Working together (work rate) = 1/10

Chandu's rate + Balaji's rate = working together rate

Let Balaji's rate = 2/x

1/15 + 2/x = 1/10

2/x = 1/10 - 1/15

L. C. M of 10 and 15 = 30

2/x = (3 - 2) / 30

2/x = 1/30

x = 60

Hence, it will take Balaji alone 60days to complete the same task.