Amit travelled from A to B at 40 km/hr and then from B to C at 60 km/hr. If AB = BC, the average speed for his entire travel is ______kmph.
Question
Amit travelled from A to B at 40 km/hr and then from B to C at 60 km/hr. If AB = BC, the average speed for his entire travel is ______kmph.
Solution
To solve this problem, we need to use the formula for average speed, which is total distance divided by total time.
Step 1: Calculate total distance Since AB = BC, let's assume each of them is x km. So, the total distance travelled by Amit is 2x km.
Step 2: Calculate total time The time taken to travel from A to B is x/40 hours and the time taken to travel from B to C is x/60 hours. So, the total time taken is x/40 + x/60 = (3x + 2x) / 120 = 5x/120 = x/24 hours.
Step 3: Calculate average speed The average speed is total distance divided by total time, which is 2x / (x/24) = 48 km/hr.
So, the average speed for Amit's entire travel is 48 km/hr.
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