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CBSE Class 12-science Answered

A man rides his motorcycle at the speed of 50km/h. He has to spend Rs.2 per km on petrol. If he rides it at a faster speed of 80km/h, the petrol cost increases to Rs.3 per km. He has at most Rs.120 to spend on petrol and one hour’s time. Using LPP find the maximum distance he can travel.

Asked by vandanashikha | 17 Feb, 2015, 09:47: PM
answered-by-expert Expert Answer
L e t space apostrophe x apostrophe space a n d space apostrophe y apostrophe space b e space t h e space d i s tan c e s space t r a v e l l e d space b y space m a n space i n space 50 space k m divided by h r space a n d space 80 space k m divided by h r space r e s p e c t i v e l y. D i s t a n c e space t o space b e space t r a v e l l e d space i n space R s space 120 comma 120 greater or equal than 2 x plus 3 y M a x i m u m space t i m e comma 1 greater or equal than x over 50 plus y over 80 M a x i m u m space d i s tan c e space h e space c a n space t r a v e l space equals x plus y table row x y cell D i s tan c e end cell row 0 40 40 row cell 300 over 7 end cell cell 80 over 7 end cell cell space space space space space space space space space 380 over 7 equals 54.3 space end cell row 50 0 50 end table F r o m space t h e space a b o v e space v a l u e s comma space t h e space m a x i m u m space d i s tan c e space t h a t space c a n space b e space c o v e r e d space i n space 1 space h o u r space a n d space R s space 120 space i s space 54.3 space k m.
Answered by Prasenjit Paul | 18 Feb, 2015, 11:12: AM
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