Mr Mosafeer employs 5 men who together can build a wall 12 m long in 3 days.
(a) How long would it take the men to build a wall 20 m long?
(b) How long would it take 3 men to build the 12 m wall?
(c) If the 12 m wall must be built in 2 days, how many more men must
Mr Mosafeer employ?

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Solution

Dear Student,

$a) 12 m e t e r l o n g w a l l g e t s b u i d i n = 3 d a y s 1 m e t e r l o n g w a l l b u i d i n = \frac{3}{12} = \frac{1}{4} 20 m e t e r l o n g w a l l g e t s b u i d i n = \frac{1}{4} \times 20 = 5 d a y s b) m o r e m e n w i l l t a k e l e s s t i m e t o b u i l d t h e w a r, h e n c e n u m b e r o f m a n a n d 5 m e n b u i d s t h e 12 m w a l l i n = 3 d a y s 1 m e n c a n b u i l d t h e w a l l i n = 3 \times 5 = 15 d a y s 3 m a n b u i l d s t h e w a l l i n = \frac{15}{3} = 5 d a y s c) n u m b e r o f m a n w h o c a n b u i l d t h e w a l l i n 3 d a y s = 5 m e n n u m b e r o f m e n w h o c a n b u i l d t h e w a l l i n 1 d a y = 3 \times 5 = 15 m e n n u m b e r o f m e n w h o c a n b u i l d t h e w a l l i n 2 d a y s = \frac{15}{2} = 7.5 m e n h e n c e 7.5 - 5 = 2.5 m o r e m e n a r e r e q u i r e d h e r e 2.5 c a n b e t a k e n a s 3 b e c a u s e 2.5 m e n i s n o t p o s s i b l e H e n c e 3 m o r e m a n a r e r e q u i r e d .$
Regards,

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Mr Mosafeer employs 5 men who together can build a wall 12 m long in 3 days. (a) How long would it take the men to build a wall 20 m long? (b) How long would it take 3 men to build the 12 m wall? (c) If the 12 m wall must be built in 2 days, how many more men must Mr Mosafeer employ?

Mr Mosafeer employs 5 men who together can build a wall 12 m long in 3 days.
(a) How long would it take the men to build a wall 20 m long?
(b) How long would it take 3 men to build the 12 m wall?
(c) If the 12 m wall must be built in 2 days, how many more men must
Mr Mosafeer employ?