In a race of 1000m, A can beat B by 100m. In a 400m, B beats C by 40m. In a race of 500m. A will beat C by
A. 95m
B. 50m
C. 45m
D. 60m
Answer: Option A
Solution (By Examveda Team)
When A runs 1000m, B runs 900m. Hence, when A runs 500m, B runs 450m. Again, when B runs 400m, C runs 360m. And, when B runs 450m, C runs = 360 × $$\frac{{450}}{{400}}$$ = 405m. Required distance = 500 - 405 = 95 meter. That means when A runs 500 meter then B can run 450m then C runs 405m.This Question Belongs to Arithmetic Ability >> Speed Time And Distance
Let, A:B=1000:900 (100:90)
And, B:C=400:360(40:36)
So, A:B:C= 400:360:324 (by equalizing the value of cross ratio)
Here, A:C= 400:324
As, A is running 400 m against C of 324
A " " " " 1 " " C =324/400
A............... 500... C= 324*500/400
= 405m
So A beat C by=(500-405)m
= 95m
A : B : C
1000 : 900 : ---
------ : 400 : 360
100 : 90 : 81
A : C
100 : 81
So, for A=500, C should be 405.
100*5=500, 81*5=405
Now 500-405=95
Ans is 95m
A : B : C
1000 : 900
400 : 360
100 : 90 : 81
A : C
100 : 90
So, for A=500, C should be 405.
100*5=500, 90*5=405
Now 500-405=95
Ans is 95m
I need explanation how 95 is the answer plzzz
should the answer be 90 m