Question

40 men can complete the work in 96 days. They all started the work and after 24 days 20 more men joined. Some men left after further 32 days. If the remaining work now completed in twenty days. Find the number of men who left?
a) 10
b) 16
c) 15
d) 12​

Answer 1

Answer:

d) 12

Step-by-step explanation:

In 24days work remain = 1-(24/96)

= 1-(1/4)

= 3/4

At the end of 32days work remain

=(3/4)-(32/96)-(32/192)

=(3/4)-(1/3)-(1/6)

=(9-4-2)/12

= 3/12

= 1/4

in 1day a man can do 1/(40*96) work

in 20day a man can do 20/(40*96) work

= 1/192work

hence required man to complete the remaining work

= (1/4)/(1/192)

= 1*192/4

= 48men

number of men who left= 60-48

=12

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