Question
Download Solution PDFThe speed of Vikram and Kundan are 30km/h and 40 km/h. Initially Kundan is at a place A and Vikram is at a place B. The distance between A and B is 650 km. Vikram started his journey 3 hours earlier than Kundan to meet each other. If they meet each other at a place C somewhere between A and B, then the distance between C and B is.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of Vikram = 30 km/h
Speed of Kundan = 40 km/h
Distance between A and B = 650 km
Calculation:
Vikram starts 3 hours earlier than Kundan
They meet at point C between A and B
Distance traveled by Vikram before Kundan starts
Distance = Speed × Time
Distance = 30 × 3 = 90 km
Relative Speed of Vikram and Kundan
Since they are moving towards each other:
Relative Speed = 30 + 40 = 70 km/h
Time Taken to Meet:
Remaining Distance = 650 - 90 = 560 km
Time = Remaining Distance / Relative Speed
Time = 560 / 70 = 8 hours
Distance of C from B:
Total travel time of Vikram = 3 + 8 = 11 hours
Distance traveled by Vikram = Speed × Time
Distance = 30 × 11 = 330 km
Final Answer: The distance between C and B is 330 km.
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