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Ratio of speed of bike, van and lorry is 3 ∶ 7 ∶ 5. If lorry cover 360 km in 12 hours. Find the average speeds of bike and van together.
1. 30 km/h
2. 25 km/h
3. 20 km/h
4.  28 km/h

1 Answer

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Best answer
Correct Answer - Option 1 : 30 km/h

Given:

The ratio of the speed of the bike, van and lorry = 3 ∶ 7 ∶ 5 

Distance covers by lorry = 360 km 

Time taken by lorry to cover = 12 hours 

Concept used:

Speed = Distance/Time 

Average = (Total sum)/(Total terms)

Calculations:

Let the speed of the bike, van and lorry be 3x, 7x and 5x respectively 

Speed of lorry = 360/12 = 30 km/h 

⇒ 5x = 30 

⇒ x = 6 

Speed of bike = 3x = 3 × 6 = 18 

Speed of van = 7x = 7 × 6 = 42 

Average speed of bike and van = (18 + 42)/2 = 30 km/h 

∴ Average speed of bike and van is 30 km/h

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