A man was travelling half of the total distance at a speed of 30 km/h and the rest distance at the speed of 50 km/h. What was the average speed of the man on his whole journey?
A man was travelling half of the total distance at a speed of 30 km/h and the rest distance at the speed of 50 km/h. What was the average speed of the man on his whole journey?
A40 km/hr
B37.5 km/hr
C42.5 km/hr
D35 km/hr
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correct answer is: 37.5 km/hr
Explanation: To find the average speed for the entire journey,we use the formula for average speed when covering equal distances:
\[ \text{Average Speed} = \frac{2 \times v_1 \times v_2}{v_1 + v_2} \] where \( v_1 = 30 \) km/h and \( v_2 = 50 \) km/h.
Plugging in the values:
\[ \text{Average Speed} = \frac{2 \times 30 \times 50}{30 + 50} = \frac{3000}{80} = 37.5 \text{ km/h} \]
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