An engineer undertake a project to build a road 15km long in 300 days and employs 45 men for the purpose. After 100 days, he finds 2.5km of the road has been completed. Find the number of extra men he must employ to finish the work in time.

Shohan

6 views

2025-01-04 04:42

1 Answers

Shohan

$A f t e r 100 d a y s, r e m a i n i n g w o r k = (1 - \frac{2.5}{15}) = (1 - \frac{1}{6}) = \frac{6 - 1}{6} = \frac{5}{6} p a r t o f w o r k R e m a i n i n g d a y s = 300 - 100 = 200 d a y s N o w, \frac{1}{6} p a r t o f w o r k i s d o n e i n 100 d a y s b y 45 m e n ∴ \frac{5}{6} p a r t o f w o r k i s d o n e i n 200 d a y s b y = \frac{45 \times 100 \times 6 \times 5}{200 \times 6} = 112.5 = 113 m e n ∴ N u m b e r o f e x t r a m e n n e e d e d = 113 - 45 = 68 (a n s .)$

6 views Answered 2024-12-14 13:31

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