## Races and games

#### Races and games

1. In a game of 90 points, A can give B 15 points and C 30 points. How many points can B give C in a game of 100 points?
1. 140
2. 20
3. 50
4. 30

1. A:B:C = 90:75:60
B : C = 75 / 60 = ( 75 x 10075 ) / ( 60 x 10075) = 100 / 80

##### Correct Option: B

A : B : C = 90 : 75 : 60
B:C = 75 / 60 = ( 75 x 10075 ) / ( 60 x 10075) = 100 / 80
Hence, in a game of 100 points, B can give C(100 - 80)
= 20 points.

1. The respective ratio between the speeds of a car, a train and a bus is 5 : 9 : 4. The average speed of the car, the bus and the train is 72 Km/h together. What is the average speed of the car and the train together?
1. 82 km/h
2. 78 km/h
3. 84 km/h
4. Cannot be determined

1. Total speed of car, bus and train = 72 × 3 = 216 Km
Speed of car and train = ( 5 + 9 ) x 216 / ( 5 + 9 + 4 ) = 168 Km

##### Correct Option: C

Total speed of car, bus and train = 72 × 3 = 216 Km
Speed of car and train = ( 5 + 9 ) x 216 / ( 5 + 9 + 4 ) = 168 Km
Average = 168 / 2 = 84 Km