Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, is:
Question:
Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, is:
Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, is:
Options
Answer: 61.6
Explanation:
Step 1: Convert distances to kilometers Vijay is 54 m behind → 0.054 km Ashok is 225 m away → 0.225 km Step 2: Time for Ravi and Ashok to meet Relative speed = 40 + 50 = 90 km/h Time = distance / speed = 0.225 / 90 = 0.0025 hours Step 3: Time for Vijay to reach Ravi Relative speed = V − 40 (V = Vijay’s speed) Time = distance / speed = 0.054 / (V − 40) Equate times: 0.054 / (V − 40) = 0.0025 → V − 40 = 21.6 → V = 61.6 km/h Answer: 61.6
Explanation:
Step 1: Convert distances to kilometers Vijay is 54 m behind → 0.054 km Ashok is 225 m away → 0.225 km Step 2: Time for Ravi and Ashok to meet Relative speed = 40 + 50 = 90 km/h Time = distance / speed = 0.225 / 90 = 0.0025 hours Step 3: Time for Vijay to reach Ravi Relative speed = V − 40 (V = Vijay’s speed) Time = distance / speed = 0.054 / (V − 40) Equate times: 0.054 / (V − 40) = 0.0025 → V − 40 = 21.6 → V = 61.6 km/h Answer: 61.6
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