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A certain number of people can make the 900 balls working 9 hours a day in 40 days. If the number of people is increased by 16, then they can make 1200 balls working 8 hours a day in 36 days. How many persons can make 700 balls working 14 hours a day in 15 days?

A certain number of people can make the 900 balls working 9 hours a day in 40 days. If the number of people is increased by 16, then they can make 1200 balls working 8 hours a day in 36 days. How many persons can make 700 balls working 14 hours a day in 15 days? Correct Answer 32

Let the initial number of the person be x

Applying man-day formula

(m1× d1× h1)/w1 = (m2 × d2 × h2)/w2

Where m1, m2 is the number of persons working

d1, d2 is the number of days taken

h1, h2 is the number of hours

w1, w2 is the units of work done

According to the question,

(x × 40 × 9)/900 = ((x + 16) × 36 × 8)/1200

⇒ x = 24

Let y persons can make 700 balls working 14 hours a day in 15 days

⇒ (24 × 40 × 9)/900 = (y × 14 × 15)/700

∴ y = 32

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