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A and B walk from one corner of rectangular field to the corner just opposite A walks along diagonal and B walks along the sides reaching point together

if ratio of length and breadth is 3:4 then ratio of their speed



Take length as 3x and breadth as 4x
so now use pythagoras theorem 
and u can find that length of diagonal is 5x
A and B take same time so
 distance travelled by A is 5x
distance travelled by B is 7x
so v1(5x)=v2(7x)
where v1 is the speed of A and v2 speed of B
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the speed of A and v2 speed of B
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