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The ratio between the speed of the bus, train and bike 3 : 9 : 8. The bike moved uniformly and covered a distance of 960 km in 12 hours. What is the sum of the speed of the bus and train together?
1. 12 km/h
2. 120 km/h
3. 170 km/h
4. 240 km/h
5. 110 km/h

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Best answer
Correct Answer - Option 2 : 120 km/h

Given:

The ratio between the speed of the bus, train and bike = 3 : 9 : 8

Distance covered by the bike = 960 km

Time taken by bike = 12 hours

Formula Used:

Speed = (Distance)/(Time)

Calculation:

Speed of the bike = (Distance)/(Time)

⇒ 960/12

⇒ 80 km/h

Let the speed of the bus, train and bike be 3x, 9x and 8x respectively.

Now, 8x = 80

⇒ x = 10

Speed of the bus = 3x 

⇒ 30 km/h

Speed of the train = 9x

⇒ 90 km/h

Hence, Sum of the speed of the bus and train together = (30 + 90) km/h

⇒ 120 km/h

∴ The sum of the speed of the bus and train together will be 120 km/h.

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