A man and a boy together can do a certain amount of digging in 24 days. Their speeds in digging are in the ratio of 4 : 3. How many days will the boy take to complete the work if engaged alone?
Answer & explanation
Correct answer: option 4
Man + Boy = 24 days,
⇒ M : B = 4 : 3 (Efficiency)
⇒ Total work = (4 + 3) x 24 = 7 x 24 = 168 units, ..(Efficiency × Days = Total work)
⇒ Time required by Boy to complete the work alone = \(\frac{168}{3}\) = 56 days, ..(\(\frac{Work}{Efficiency}\) = Time)