In a one-kilometre race A, B and C are the three participants.

In a one-kilometre race A, B and C are the three participants. A can give B a start of 50 m. and C a start of 69 m. The start, which B can allow C is

Let the time taken to complete the race by A,B, and C be x minutes.

∴ Speed of A =	100	,
	x

B =	1000 − 50	=	950
	x		x

C =	1000 − 69	=	931
	x		x

Now, time taken to complete the race by

B =	1000	=	1000 × x
	950/x		950

and distance travelled by C in	1000x	min
	950

=	1000x	×	931	= 980 km.
	950		x

∴ B can allow C
= 1000 – 980 = 20 m