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The ratio between the speed of a car and a bike is 16 : 15 respectively. Also, a bus covered a distance of 480 km in 8 hrs. The speed of the bus is three-fourths the speed of the car. How much distance will the bike cover in 6 h? 
1. 320 km
2. 360 km
3. 450 km
4. 435 km
5. 420 km

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Correct Answer - Option 3 : 450 km

Given,

The ratio between the speed of a car and a bike is 16 : 15 respectively

A bus covered a distance of 480 km in 8 hrs.

The speed of the bus is three-fourths the speed of the car

Calculations:  

Speed of bus = 480/8 = 60km/h

Speed of car = (60 × 4)/3 = 80 km/h

Speed of car : Speed of bike = 16 : 15

Speed of bike = 80/16 × 15 = 75 km/h

Distance covered by b ike in 6 hr = 75 × 6 = 450 km

∴ The required answer is 450 km

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