# Aptitude - Races and Games - Discussion

Discussion Forum : Races and Games - General Questions (Q.No. 1)
1.
In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:
18 m
20 m
27 m
9 m
Explanation:

A : B = 100 : 90.

A : C = 100 : 72.

 B : C = B x A = 90 x 100 = 90 . A C 100 72 72

When B runs 90 m, C runs 72 m.

 When B runs 100 m, C runs 72 x 100 m = 80 m. 90

B can give C 20 m.

Discussion:
43 comments Page 2 of 5.

Ammu said:   6 years ago
Please anyone explain this in simple way.

Jayasree said:   7 years ago
Does anyone know how can we solve this question by having the difference in distance values only( i.e, using 10 and 28)?

Ramesh said:   7 years ago
I am not getting it.

Siddhesh said:   7 years ago
They are asking when B is at 100 m, where is C?

Consider A need x seconds to reach at 100m.

Velocity of A is 100/x.

Given that when A is at 100m, B and C are at 90m and 72m respectively...

So,velocity of B is 90/x (m/sec)
velocity of C is 72/x (m/sec)

Now, For B to reach 100m, 10m again have to run
time required for B to run 10m =10/(90/x) = x/9 sec.
distance covered by C in x/9 sec =(x/9)*(72/x) = 8m.

So when B is at 90+10=100m.
C is at 72+8 = 80m.

B won race by 20m difference with C.

Sayeeda said:   7 years ago
Thank you for your explanation @Akhil.

Manoj said:   7 years ago
Given A 100, B 10, C 28.

A gives B means 100 - 10 = 90 = B.
A gives C means 100 - 28 = 72 = C.
A : B = 100 : 90.
A : C = 100 : 72.

B : C = 90 : 72 -------> 90/72 = B/C.

Consider given one as 100.
B gives C is

B : C = 100 : 72/90.
C/B = 72/90 * 100 = 80m.

Dynamo said:   7 years ago
We have to compare between B & C.

If B goes 90.

C goes 72.

To be 100 we have to multiply by 100 and divide by 90.

90 * 100/90 ------> 72 * 100/90.

100 ------> 80.

So, B can give C = 100 - 80 = 20.

Akhil kondaparva said:   7 years ago
A defeats B by 10m i.e. if A runs 100m then B runs 90m.

A defeats c by 28m i.e. if A runs 100m then C runs 72m.

If B = 90 then C = 72.

If B = 100 then C = ? (cross multiply).

=> C = (72 x 100) / 90 = 80m.

So, if B = 100 C = 80.

ie=> B defeats C by 20 metres.

Manisha said:   8 years ago
Thank you all for helping me.

Aakriti said:   8 years ago
Thanks, @Abhishek Kushwaha.