s- – Tinku Tara

Question Number 208637 by efronzo1 last updated on 20/Jun/24

s

Answered by Berbere last updated on 20/Jun/24

f i n d f r a c t i n t h a t o n e m a n c a n c o m p e t e p e r d a y V_{m}

a n d w o m e n V_{w}

V_{m} = \frac{1}{16.24}

V_{w} = \frac{1}{16.48}

s o i t j u s t f i n d x;

14.12 . V_{m} + x (12 V_{m} + 12 V_{w}) = 1

x . (\frac{1}{32} + \frac{1}{64}) = \frac{9}{16} \Rightarrow x = 4

T o t a l 14 + 4 = 18

Commented by efronzo1 last updated on 20/Jun/24

x = 12

Answered by A5T last updated on 20/Jun/24

I n 1 d a y, t h e 48 w o m e n d i d \frac{1}{16} o f t h e j o b

\Rightarrow 1 w o m a n d i d \frac{1}{16 \times 48} o f t h e j o b p e r d a y

S i m i l a r l y, 1 m a n w o u l d d o \frac{1}{16 \times 24} p e r d a y

(12 \times \frac{1}{16 \times 24} \times 14) + x (\frac{12}{16 \times 24} + \frac{12}{16 \times 48}) = 1

\Rightarrow x = 12

Answered by MM42 last updated on 20/Jun/24

\frac{16 \times 48}{16 \times 24} = 2 \Rightarrow m = 2 w

\Rightarrow n u m b e r o f d a y s t o w i t h 12 m e n s

16 \times 24 = 12 \times x \Rightarrow x = 32

t h e r e m a i n i n g d a y s o f d o i n g w o r k w i t h 12 m e n s

32 - 14 = 18

12 m & 12 w \equiv 18 m

\Rightarrow 12 \times 18 = 18 \times x \Rightarrow x = 12 ✓

Facebook Tweet Pin

s-