Shortcut Trick
Average Speed = (Total Distance) ÷ (Total Time)
Average Speed = (v1t1 + v2t2) ÷ (t1 + t2)
Average Speed = (50 × 2 + 40 × 4) ÷ (2 + 4)
Average Speed = (100 + 160) ÷ 6 = 260 ÷ 6 = 43.33 km/hr
∴ The correct answer is 43.33 km/hr.
Alternate Method
Given:
Speed1 = 50 km/hr, Time1 = 2 hr
Speed2 = 40 km/hr, Time2 = 4 hr
Formula: Average Speed = Total Distance ÷ Total Time
⇒ Distance1 = Speed1 × Time1 = 50 × 2 = 100 km
⇒ Distance2 = Speed2 × Time2 = 40 × 4 = 160 km
⇒ Total Distance = 100 + 160 = 260 km
⇒ Total Time = 2 + 4 = 6 hr
⇒ Average Speed = 260 ÷ 6
⇒ Average Speed = 43.333... km/hr
∴ The correct answer is 43.33 km/hr.
Additional Information
Average Speed for Equal Distances
If a person travels two equal distances at speeds x and y, the average speed is given by (2xy) ÷ (x + y).
Relative Speed
When two objects move in the same direction, relative speed = S1 − S2. When they move in opposite directions, relative speed = S1 + S2.
Unit Conversion
To convert km/hr to m/s, multiply by 5/18. To convert m/s to km/hr, multiply by 18/5.