0 vote
A man can do a piece of work in 16 days. With the help of a boy he does the work in 12 days. If they get Rs. 80 for this work, what is the boy’s share?
A man can do a piece of work in 16 days. With the help of a boy he does the work in 12 days. If they get Rs. 80 for this work, what is the boy’s share?
1). Rs 20
2). Rs 22
3). Rs 30
4). Rs 15
1 answers
3 vote
Let the total work be W.
Let the time taken by the boy to complete the work alone b x.
Speed of the man to complete the work = W/16
Speed of the boy to complete the work = W/x
Work done by man and boy together for 12 days,
⇒ $(W\; = \;\left( {\frac{W}{{16}} + \frac{W}{x}} \right)12)$
⇒ x = 48 days
∴ Ratio of the time taken to complete the work by the man and boy = 16 : 48
∴ The money will also be divided in this ratio
∴ Boy’s share = (80/48) × 12 = Rs. 20