Question

50 men can complete a work in 65 days.Five days after started the work, 20 men left the group. In how many days can the remaining work be completed?

Answer 1

Answer:

The remaining work be completed in 100 days.

Step-by-step explanation:

Given:

Total number of men $=50$

Days of work $=65$

Men who left the group $=20$

Days after which men left $=5$

To find:

In how many days can the remaining work be completed?

Solution:

Let the number of days in which work can be completed be $=x$

Number of men left $=20$

Total men $=50-20=30$

After $5$ days:-

$50$ men will be able to do work for $60$ days

$30$ men can do the work in:-

$m_1d_1=m_2d_2$

Substituting the values:-

$=50\times 60=30 \times x\\3000=30x\\x=\frac{3000}{30}\\ x=100$

The work can be completed in $100$ days.

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