Question
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
Answer: Option A
Answer: (a)Let the time taken to complete the race by A,B, and C be x minutes.Speed of A = $1000/x$,B = ${1000 - 50}/x = 950/x$C = ${1000 - 69}/x = 931/x$Now, time taken to complete the race byB = $1000/{950/x} = {1000 × x}/950$and distance travelled by C in${1000x}/950$ min = ${1000x}/950 × 931/x$ = 980 km.B can allow C= 1000 - 980 = 20 m
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Answer: (a)Let the time taken to complete the race by A,B, and C be x minutes.Speed of A = $1000/x$,B = ${1000 - 50}/x = 950/x$C = ${1000 - 69}/x = 931/x$Now, time taken to complete the race byB = $1000/{950/x} = {1000 × x}/950$and distance travelled by C in${1000x}/950$ min = ${1000x}/950 × 931/x$ = 980 km.B can allow C= 1000 - 980 = 20 m
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