How to solve the following two questions :-
1   If 12 men or 15 women can finish a piece of work in 66 days, how long will 24 men and 3 women take to finish the work? 

2.   70 patients in a hospital consume 1350 litres of milk in 30 days. At the same rate, how many patients will consume 1710 litres in 28 days

Asked by tejvarun | 21st Mar, 2015, 10:38: AM

Expert Answer:

1. space W o r k space d o n e space b y space a space m a n space i n space o n e space d a y equals fraction numerator 1 over denominator 66 cross times 12 end fraction equals 1 over 792 W o r k space d o n e space b y space a space w o m a n space i n space o n e space d a y equals fraction numerator 1 over denominator 66 cross times 15 end fraction equals 1 over 990 W o r k space d o n e space b y space 24 space m e n space a n d space 3 space w o m e n space i n space o n e space d a y equals 24 over 792 plus 3 over 990 equals 1 over 33 plus 1 over 330 equals 1 over 30 T h e r e f o r e comma space t h e space n u m b e r space o f space d a y s space t o space c o m p l e t e space t h e space w o r k space f o r space 24 space m e n space a n d space 3 space w o m e n equals fraction numerator 1 over denominator begin display style 1 over 30 end style end fraction equals 30 space 2. 70 space p a t i e n t s space c o n s u m e space 1350 space l i t r e s space o f space m i l k space i n space 30 space d a y s. I n space 30 space d a y s space p a t i e n t s space c o n s u m e space 1350 space l i t r e s space o f space m i l k. I n space o n e space d a y space 70 space p a t i e n t s space c o n s u m e space equals 1350 over 30 equals 45 space l i t r e s space o f space m i l k. 70 space p a i t e n t s space c o n s u m e space 45 space l i t r e s space o f space m i l k. o n e space p a t i e n t space c o n s u m e s space 45 over 70 equals 9 over 14 space l i t r e s space o f space m i l k  A n d space 1710 space l i t r e s space s h o u l d space b e space c o n s u m e space i n space 28 space d a y s. S o space i n d a y comma space 1710 over 28 equals 61 space l i t r e s space s h o u l d space b e space c o n s u m e d. L e t space x space b e space t h e space n u m b e r space o f space p a t i e n t s. E a c h space p a t i e n t space c o n s u m e s space 9 over 14 space l i t r e s space o f space m i l k T h u s comma space space w e space h a v e comma space x cross times 9 over 14 equals 61 rightwards double arrow x equals fraction numerator 61 cross times 14 over denominator 9 end fraction equals 95 space T h u s comma space 95 space p a t i e n t s space w i l l space c o n s u m e space 1710 space l i t r e s space i n space 28 space d a y s

Answered by Vimala Ramamurthy | 22nd Mar, 2015, 04:20: PM