Question

A work is completed by ram & karim in 5 days. Ram alone will complete it in 8 days. How many days karim alone will take for that work

Answer 1

Karim alone will complete it in $=13\dfrac{1}{3}$ days.

Step-by-step explanation:

We have,

(Ram + Karim)'s 1 day's work $=\dfrac{1}{5}$ and

Ram's 1 day's work $=\dfrac{1}{8}$

To find, the number of days Karim alone will take for that work = ?

∴ Karim's 1 day's work = (Ram + Karim)'s 1 day's work - Ram's 1 day's work

$=\dfrac{1}{5}-\dfrac{1}{8}$

$=\dfrac{8-5}{40}$

$=\dfrac{3}{40}$

The number of days Karim alone will take for that work $=\dfrac{40}{3} =\dfrac{39+1}{3}$

$=13\dfrac{1}{3}$ days

Hence, Karim alone will complete it in $=13\dfrac{1}{3}$ days.