A car travels 30km at a uniform speed of 40 km/h and next 30km at a uniform speed of 20km/h . Find it's average speed
Answers
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Answer :
- The average speed of the bike = 26.66 km h¯¹
Given :
- A bike travels 30 km at a uniform speed of 40 km /h¯¹
- Next 30 km at uniform speed of 30km/h ¯¹
To find :
- The average speed of the bike = ?
Step-by-step explanation :
In the first part, the bike travels a distance of 30 km at a speed of 40 km per hour.
Given,
Speed = 40 km h ¯¹
Distance = 30 km
Time = ?
Speed = Distance travelled / Time taken
∴ Time = Distance /Speed
Time, t₁ = 30/40 hours
= 3/4 hours
For the second part , the bike travels a distance of 30 km at a speed of 20 km h¯¹,
Given,
Speed = 20 km h ¯¹
Distance = 30 km
Time = ?
Time, t₂ = 30/20
= 3/2 hour
We cn get the total time taken by the bike for the whole journey by adding the above two values t₁ and t₂ , we get
Total time taken = 3/4 + 3/2
= 3 + 6/4
= 9/4 hours
Total distance travelled = 30 + 30
= 60 km
Average Speed = Total distance traveled/Total time taken
Substituting the values in above formula, we get
= 60 × 4 / 9
= 240/9
= 26.66
Thus, the average speed of the bike = 26.66 km h ¯¹.