A person rode a bicycle at a speed of 1 km/hr and covered half the distance between two towns in 2 hours and 30 minutes. Afterward, they increased their speed by 2 km/hr. Find out how far apart the towns are and how long it will take them to travel the second half of the distance?
- 5 km, 50 minutes
- 5 km, 1 hour and 15 minutes
- 8 km, 1 hour and 15 minutes
- 8 km, 45 minutes
Explanation
- Speed for first half = 1 km/hr
- Time for first half = 2 hours 30 minutes = 2.5 hours
- Distance for first half = Speed × Time = 1 × 2.5 = 2.5 km
Total distance between towns = 2 × 2.5 = 5 km
- New speed for second half = 1 + 2 = 3 km/hr
- Time for second half = Distance ÷ Speed = 2.5 ÷ 3 ≈ 0.833 hours = 50 minutes (approx)
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- 5:35 pm
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