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Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?
explain in short and simple.?
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Charlie and Alan run a race between points A and B, 5 km apart. Charli...
Race Overview
Charlie and Alan are racing between points A and B, which are 5 km apart.
Charlie's Journey
- Start Time: 9 a.m.
- Speed: 5 km/hr
- Time to reach B: 5 km / 5 km/hr = 1 hour
- Arrival at B: 10 a.m.
- Return to A: 1 more hour (arrives back at 11 a.m.)
Alan's Journey
- Start Time: 9:45 a.m.
- Speed: 10 km/hr
- Time to reach B: 5 km / 10 km/hr = 0.5 hours
- Arrival at B: 10:15 a.m.
- Return to A: 0.5 more hours (arrives back at 10:45 a.m.)
Meeting Point Calculation
- Charlie leaves A at 9 a.m. and is on his way to B until 10 a.m.
- After 10 a.m., he starts his return journey towards A.
- Alan starts at 9:45 a.m. and reaches B at 10:15 a.m., then returns towards A.
Time of First Meeting
- Charlie has been running for 1 hour at 5 km/hr by 10 a.m. and is 5 km away from A.
- Alan, starting later, reaches B at 10:15 a.m. and is moving back towards A.
- By the time Alan reaches B, Charlie has been back for 15 minutes, traveling towards A at 5 km/hr.
To calculate their positions:
- Charlie travels 1.25 km back to A by 10:15 a.m.
- Alan travels from B towards A at 10 km/hr.
Set their meeting time (t) after 10:15 a.m.:
- Distance traveled by Charlie: 5 km - 1.25 km = 3.75 km towards A.
- Distance traveled by Alan: 10 km/hr * t.
At their meeting point:
3.75 km = 10 km/hr * t
t = 0.375 hours or 22.5 minutes after 10:15 a.m.
Final Meeting Time
- Time of First Meeting: Approximately 10:37.5 a.m. (or 10:38 a.m. rounded).
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Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?explain in short and simple.?
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Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?explain in short and simple.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?explain in short and simple.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?explain in short and simple.?.
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