Shortcut Trick
The distance between two objects before they meet is simply the distance covered by their Relative Speed in that specific time.
Relative speed in same direction = 8 − 5 = 3 km/h.
Convert relative speed to meters per minute ⇒ (3 × 1000) ÷ 60 = 50 m/min.
Distance 1 minute before meeting = 50 m/min × 1 min = 50 m.
∴ The correct answer is 50 m.
Alternate Method
Given:
Speed of A = 8 km/h, Speed of B = 5 km/h, Initial distance = 200 m, Time before meeting = 1 min.
Formula Used:
Relative Speed (Same direction) = S1 − S2
Distance = Speed × Time
Calculations:
⇒ Relative Speed = 8 − 5 = 3 km/h
⇒ Convert km/h to m/s ⇒ 3 × (5/18) = 5/6 m/s
⇒ Time = 1 minute = 60 seconds
⇒ Distance before 1 minute = Relative Speed × Time
⇒ Distance = (5/6) × 60
⇒ Distance = 5 × 10 = 50 m
∴ The correct answer is 50 m.
Additional Information
Relative Speed Concept
When two objects move in the same direction, relative speed is S1 − S2. When moving in opposite directions, it is S1 + S2.
Time of Meeting
Meeting Time = Initial Distance ÷ Relative Speed. In this case, 200 m ÷ (5/6) m/s = 240 seconds or 4 minutes.
Unit Conversions
To convert km/h to m/s, multiply by 5/18. To convert m/s to km/h, multiply by 18/5.