# 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?

Answer: Option

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:
5 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.

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:
5 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:
6 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:
6 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.

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:
7 years ago

How A : B should be 60 : 45?

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