Question

Ranjana can do a work in 5 days and Madhav can
do the same work in 8 days. Determine how much
time they will take to complete the work together.​

Answer 1

Given:

Ranjana can do a work in 5 days and Madhav can  do the same work in 8 days

To find:

Determine how much  time they will take to complete the work together.​

Solution:

So,

In 1 day, Ranjana can do = $\frac{1}{5}$ of the work

and

In 1 day, Madhav can do = $\frac{1}{8}$ of the work

Therefore,

In 1 day, Ranjana and Madhav together will do,

= $\frac{1}{5} + \frac{1}{8}$

taking L.C.M. of the denominators i.e., L.C.M. of 5 & 8 = 40

= $\frac {8 + 5 }{40}$

= $\frac{13}{40}$

Thus, Ranjana & Madhav will take → $\bold{\frac{40}{13} \:days}$ ≈ $\bold{3 \: days}$ to complete the work together.

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