Question

Mohit and Ankit can complete a piece of work
in 10 days, Ankit and Ramesh can complete
the same work in 12 days and Mohit and
Ramesh can complete the same work in 20
days. In how many days Mohit alone can
complete the work?
(a) 15 days
(b) 25 days
(c) 20 days
(d) 30 days

Answer 1

Answer:

he can complete work in 15 days

Answer 2

Mohit alone can complete the work in 30 days.

Step-by-step explanation:

Given:

• Mohit and Ankit can complete a piece of work
• in 10 days

$= > \frac{1}{M} + \frac{1}{A} = \frac{1}{10}$

• Ankit and Ramesh can complete
• the same work in 12 days

$= > \frac{1}{A} + \frac{1}{R} = \frac{1}{12}$

• Mohit and Ramesh can complete the same work in 20 days

$= > \frac{1}{M} + \frac{1}{R} = \frac{1}{20}$

Now adding these 3 equations we get,

$= > 2 \times ( \frac{1}{M} + \frac{1}{A} + \frac{1}{R} ) = \frac{1}{10} + \frac{1}{12} + \frac{1}{20}$

$= > 2 \times ( \frac{1}{M} + \frac{1}{12} ) = \frac{14}{60}$

$= > \frac{1}{M} + \frac{1}{12} = \frac{7}{60}$

$= > \frac{1}{M} = \frac{7}{60} - \frac{1}{12}$

$= > \frac{1}{M} = \frac{7 - 5}{60}$

$= > \frac{1}{M} = \frac{2}{60}$

$= > M = 30$

Mohit alone can complete the work in 30 days.