If in a 1 km race, A defeats B by 200 m, and in a 500 m race, B defeats C by 200 m, then by how many metres would A defeat C in a 200 m race, assuming that A, B, and C perform exactly the same in all the races?
96,125,100,104
which one is correct?
Answers
Answer:
104
Explanation:
A defeats B by 200 m
Va=1000/t
Vb=800/t
B defeats C by 200m
Sb=500m
Sc=300m
Vb=800/t
tb=tc
Sb/Vb=Sc/Vc
500t/800=300/Vc
Vc=2400/5t
Race of 200m b/w A&C
ta to cover 200m=200t/1000
Sc after ta=Vc*ta=2400*0.2/5=96
Difference b/w 200m and Sc
=200-96=104
Answer:
104
Explanation:
Difference between B and C in 500 m race is 200 m.
Difference between B and C in 100 m race is 40 m.
So , every 10 m B moves , C moves 6 m.
Difference between A and B in 1000 m race is 200 m.
Difference between A and B in 100 m race is 20 m.
Difference between A and B in 200 m race is 40 m.
So when A is at 200 m , B will be at 160 m.
When B is at 160 m , C moves 16*6 m.
So, when B is at 160 m , C will be at 96 m.
Distance between A and B is 200 - 96 = 104 m.