यदि 10 पुरुष या 20 महिलाएँ या 40 बच्चे किसी काम को 7 महीने में कर सकते है , तो 5 पुरुष , 5 महिलाएँ तथा 5 बच्चे मिलकर काम को कितने समय में पूरा करेंगे ?

Options

A. 6 months
B. 4 months
C. 5 months
D. 8 months

Answer

c

Explanation

(d) 10 men = 20women = 40children (efficicency of men women and children will be in complete work in same days ) convert them in one figure : 10 men = 20women `(10)/(20)` men = 1 women …….(i) `(10)/(4)` men =1 child `to` 5 children
`=((1)/(40xx5)=(1)/(4))`men ......(ii)
5 men + 5 women + 5 children
`=(20+10+5)/(4)=(35)/(4) men `
Now ,
if 10men can do a work in `7xx10` if `(35)/(4)` men can can do a work in `(7xx10)/((365)/(4) )`=8 monthss ltbr. alternate
10M `xx` 7 months -`= 20 W xx7 ` months
`=40C xx7` months
10M = 20W = 40C
1M =2W = 4C
`(m)/(4)=(w)/(2)=(c)/(1) to` Efficiency total work `= 10xx4xx7`units
Eiffciency of 5M + 5W + 5C
`=5xx4+5xx2+5xx1`
= (5+ 4+32+1)
= 35 units /day ltbr. time taken buy (5m +5W + 5C)
`=(10xx4xx7)/(35)`
= 8 months