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.Join The Discussion
Comments ( 5 )
Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
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