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In a race of 1000 m, A beats B by 150 m, while in another race of 3000 m, C beats D by 400 m. Speed of B is equal to that of D. (Assume that A, B, C and D run with uniform speed in all the events). If A and C participate in a race of 6000 m, then which one of the following is correct?
A beats C by 250 m
C beats A by 250 m
A beats C by 115.38 m
C beats A by 115.38 m
As A beats B by 150m, hence Speed of A(SA)/Speed by B
(SB) = 1000 / 850 = 20 /17 As C beats D by 400m, hence Speed of C(SC)/Speed by D
(SD) = 3000 / 2600 = 15/13 Let speed of A & B be 20x & 17x Let speed of C & D be 15y & 13y As SB & SD hence 17x = 13y x = 13/17y
SA / SC = 20x /15y = 4x/3y
= (4/3y)(13y/17) = 52/51
Let A beats C by K meters , thus
6000 /( 6000 -k) = 52/51
k = 115.38 m
By: Munesh Kumari ProfileResourcesReport error
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