# Aptitude - Races and Games - Discussion

Discussion Forum : Races and Games - General Questions (Q.No. 5)
5.
At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?
30 points
20 points
10 points
12 points
Explanation:

A : B = 60 : 45.

A : C = 60 : 40.

 B = B x A = 45 x 60 = 45 = 90 = 90 : 80. C A C 60 40 40 80

B can give C 10 points in a game of 90.

Discussion:
28 comments Page 1 of 3.

Merawi said:   4 years ago
Thanks @Ravi.

Sujit Roy said:   4 years ago
Now it is clear to me. Thanks @Ravi.

KHAMALI EMMANUEL said:   4 years ago
Please someone clarify how it comes 45/40 to 90/80?
(1)

Ravi said:   6 years ago
Consider it a 60mts race.

Since give and take policy is implied here it means all ends the race in same time.

Now,
A can give B a lead a 15mts in 60mts race.
So dist covered by B=45mts in time A covers 60mts.
So A/B = 60/45---->(1)
similarly,
A/C = 60/40 - - - >(2)

Now,
To get B/C we divide (2)/(1)
We get 45/40.

Conclusion ,in a race of 45mts B can give A a lead of 5mts
So,in 90mts race.

B can give 5*2 = 10mts lead.

Hence,
Ans = 10.
(1)

Khushi said:   6 years ago
Thanks for the explanation, @Rohit.

RAKESH said:   6 years ago
B can give C 25 points in a game of 100.

Saurabh said:   6 years ago
How both ratio is same?

Usman said:   7 years ago
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100? can anyone tell me answer?

Chinmay bhola said:   7 years ago
60-15 = 45
and 60-20 = 40 (remember this time it 60 points ,not a 100 meter race .)
Ratio will be A:B 60:45 and A:C 60:40.

Now B/A*A/C = B/C = B:C = 45/60*60/40 = 9:8 ,so B:C = 9:8
Multiply 10 in both rato, coz it will change nothing
Now it's B:C = 90:80.
90-80=10points , these 10 points B can give C in a game of 90.

Sharvaree said:   8 years ago
How A : B should be 60 : 45?