A man travels equal distances of his journey at 40, 30 and 15 km/h. respectively. Find his average speed for whole journey?
Answer: 24
Explanation
To find the average speed for the entire journey, let's assume the total distance traveled is 3x (since he travels equal distances at each speed).
Let's denote the speeds as:
S1 = 40 km/h
S2 = 30 km/h
S3 = 15 km/h
Time taken for each segment:
T1 = x / 40
T2 = x / 30
T3 = x / 15
Total time = T1 + T2 + T3
= x / 40 + x / 30 + x / 15
To find the common denominator (120):
Total time = 3x / 120 + 4x / 120 + 8x / 120
= 15x / 120
Total distance = 3x
Average speed = Total distance / Total time
= 3x / (15x / 120)
= 3 * 120 / 15
= 24
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