13) Some of the friends decided to go on a picnic they decided to go on abike if the biker decided to take one pillion with him then there is nomeans of travel for the people as equal to the no of bike + 1. if theydecided to go on two trip three bike r left unused in the second trip findthe no of person having bike?

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Jun 15th, 2006
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vignesh

Jun 25th, 2006

let the no of bikes be 'x'
let the no of friends be ''y'
at a time.. 2 can travel in a bike... so the total no of friends who can go in the bike at a time = 2x. then.. the no of friends left over are (no of bikes + 1) ie (x+1)... so let us equate
y=2x+(x+1)
ie y=3x+1----------EQ 1
take the 2nd case.. 2 trips r made.. in the 1st trip.. 2x travel and in the 2nd trip 3 bikes r left alone.. so only 2(x-3) travel [ assume tht the bikes return on their own.. good fiction.. hahhaa] let us equate now
y=2x+2(x-3)
ie y=4x-6----------EQ 2
solving the two equations,
y=22 and x=7
ie.. there were 22 friends all together and there were 7 bikes