60 men can complete a piece of work on time 40 men can complete the same work in 12 more days Find i...........

Quantitative Aptitude(IBPS CL) Time and work

60 men can complete a piece of work on time. 40 men can complete the same work in 12 more days. Find in how many days can 18 men complete of the work.

50 days

48 days

60 days

72 days

None of these

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Explanation:

Let 60 men can complete the work be x days.
According to the data provided in the question, we get:

60 × x = 40 × (x + 12)
⇒ 60x = 40x + 480
⇒ 20x = 480
⇒ x = 24
Let 18 men can complete the work in y days.
According to the data provided in the question, we get:
⇒ 60 × 24 = 30y
⇒ y = 48