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
Answer: Option
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.

Aarti said:   10 years ago
How to solve this problems in easiest way?

Abhishek kushwaha said:   1 decade ago
In a 100 m race, A can give B 10 m, It means A:B=100:90.....equation (1).

In a 100 m race, A can give C 28 m, It means A:C=100:72....equation (2).

In a 100 m race, B can give C=?

{Dividing Equation (1) and Equation (2) we get}.

B:C=90:72 or B:C=5:4 (After Dividing numerator and denominator by 18).

Or B:C=100:80 (After Multiplying numerator and denominator by 20).

In the same race B can give C=20[ANS].

Aakriti said:   9 years ago
Thanks, @Abhishek Kushwaha.

Manisha said:   9 years ago
Thank you all for helping me.

Akhil kondaparva said:   9 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.

Dynamo said:   9 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.

Manoj said:   9 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.

Sayeeda said:   8 years ago
Thank you for your explanation @Akhil.

Ramesh said:   8 years ago
I am not getting it.

At last how the answers came as 20? please explain.

Jayasree said:   8 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)?

Please tell me.


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