Question

A canal of a village can be cleaned by 24 villagers in 12 days. The number of days in which 36 villagers can clean the canal is ?

A) 18 B) 8 C) 72 D) 16

Answer 1

Answer:

B.) 18

Step-by-step explanation:

Time taken by 24 villagers = 12 day

Time Taken by 1 villager = 12/24

Taken by 1 villager = 12/24 = 1/2

Now, time taken by 36 villagers= 36*1/2

= 18

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Answer 2

Answer:

Solution of the given problem is shown below,

• Let W denotes the whole given work of cleaning the canal.
• It is mentioned that

(i) The work W can be completed by 24 villagers in 12 days. Hence,

(ii) 1 villager in 1 day can complete the amount of work = W/24/12

(iii) Let D denotes the time (in days) in which 36 villagers can complete the work W.

• From (ii) & (iii) we get following relation,

D*36*W/24/12 = W or D = 24*12/36 = 8 (days)

therefore answer is option B that is 8 days.