3. Abdul, while driving to school, computes the average speed for
his trip to be 20 km h. On his return trip along the same
route, there is less traffic and the average speed is
30 km h. What is the average speed for Abdul's trip?
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Explanation:
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Answer :
- The average speed of Abdul is 24 km h ¯¹
Given :
- Average speed in fist trip = 20 km h¯¹
- Average speed in second trip = 30 km h ¯¹
To find :
- Total average speed of Abdul's trip =?
Step-by-step explanation :
Let the distance of the school = s km
Let time to reach the school in first trip = t₁
Let time to reach the school in second trip = t₂
The average speed = Total distance /Time taken
Average speed in first trip = s/t1
20 = s/t₁
t₁ = s/20 h
Average speed in second trip = s/t₂
30 = s/t₂
t₂ = s/30 h
Now total time (t₁ + t₂) = s/20 + s/30
(t₁ + t₂) = 3s + 2s/60 = 5s/60 = s/12
Average speed of both trip = Total distance covered/Total time taken
=2s/(s/12) km h¯¹
= 2s × 12 / s km h ¯¹
= 24 km h ¯¹
Therefore,
The average speed of Abdul is 24 km h¯¹.
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