a car travels a speed of 120 kilometres per hour for 1 hour and highlights for 1/2 hours and then resumes the journey with a speed of 100 kilometres per hour for the next one and half hour find the average speed
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Therefore the average speed of the car is 110 kmph.
Given:
Speed of the car for first half = s₁ = 120 kmph
Time traveled for first half = t₁ = 3/2 hour
Speed of the car for second half = s₂ = 100 kmph
Time traveled for second half = t₂ = 3/2 hour
To Find:
The average speed of the car.
Solution:
The given question can be solved as shown below.
The distance traveled by car in the first half = d₁ = 120 × 3/2 = 180 km
The distance traveled by car in the second half = d₂ = 100 × 3/2 = 150 km
The average speed of the car = ( Total distance traveled ) / ( Total time taken )
Total distance traveled = 180 + 150 = 330 km
Total time is taken = 3 hours
⇒ The average speed of the car = 330/3 = 110 kmph
Therefore the average speed of the car is 110 kmph.
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