please give me a solution of exercise no.1.4  Q. NO.11 in r.d.sharma book
 

Asked by mrinalini mrinalini | 24th Jul, 2014, 07:20: PM

Expert Answer:

E x. space 1.4 11 right parenthesis Q u e s t i o n : A space c i r c u l a r space f i e l d space h a s space a space c i r c u m f e r e n c e space o f space 360 space K m. space T h r e e space c y c l i s t s space s t a r t space t o g e t h e r space a n d space c a n space c y c l e space 48 comma space 60 space a n d space 72 space K m space a d a y comma space r o u n d space t h e space f i e l d. space W h e n space w i l l space t h e y space m e e t space a g a i n ? S o l u t i o n : C i r c u m f e r e n c e equals 360 space K m D i s tan c e space c o v e r e d space b y space f i r s t space p e r s o n equals 48 space K m space p e r space d a y D i s tan c e space c o v e r e d space b y space s e c o n d space p e r s o n equals 60 space K m space p e r space d a y D i s tan c e space c o v e r e d space b y space t h i r d space p e r s o n equals 72 space K m space p e r space d a y T i m e space t a k e n space b y space f i r s t space p e r s o n space i n space o n e space r o u n d equals 360 over 48 equals fraction numerator 15 over denominator 2 space end fraction space d a y s equals 15 over 2 cross times 24 equals 180 space h o u r s T i m e space t a k e n space b y space s e c o n d space p e r s o n space i n space o n e space r o u n d equals 360 over 60 equals 6 space d a y s equals 6 cross times 24 equals 144 space h o u r s T i m e space t a k e n space b y space t h i r d space p e r s o n space i n space o n e space r o u n d equals 360 over 72 equals 5 space d a y s equals 5 cross times 24 equals 120 space h o u r s  M i n i m u m space t i m e space t a k e n space b y space 3 space p e r s o n s space t o space m e e t space a t space t h e space s a m e space p o i n t equals L. C. M space o f space 180 comma space 144 space a n d space 120 space h o u r s equals 2 cross times 2 cross times 2 cross times 2 cross times 3 cross times 3 cross times 5 equals 720 space h o u r s equals 720 over 24 space d a y s equals 30 space d a y s

Answered by Vimala Ramamurthy | 25th Jul, 2014, 09:10: AM