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Gopi and Kishan travel from A to B and the ratio of their speed is 3 : 5. Gopi starts at 10:00 A.M. and Kishan starts at 2:00 P.M. then, find at what time Kishan will overtake Gopi.
7:00 P.M.
7:00 A.M.
8:00 P.M.
8:00 A.M.
None of these
- Gopi and Kishan's speed ratio is 3:5.
- Assuming they travel the same distance, Kishan is faster.
- Gopi starts traveling at 10:00 A.M.
- Kishan starts traveling at 2:00 P.M., 4 hours after Gopi.
- In 4 hours, Gopi travels a certain distance.
- Kishan travels that same distance faster thanks to his greater speed.
- The time Kishan takes to cover Gopi's 4-hour head start is the key to finding the overtaking time.
- Speed ratio implies for every 3 units Gopi travels, Kishan covers 5.
- Kishan takes fewer hours to catch up due to this speed advantage.
- Calculation:
- Assume Gopi's speed: 3x and Kishan's: 5x.
- In 4 hours, Gopi travels 12x units.
- Kishan covers 2x units per hour more than Gopi (5x - 3x = 2x).
- Time for Kishan to catch up: 12x/2x = 6 hours.
- Kishan overtakes Gopi at 2:00 P.M. + 6 hours = 8:00 P.M.
- Correct Answer: Option:3, 8:00 P.M.
By: Parvesh Mehta ProfileResourcesReport error
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