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Two cyclists started toward each other from two points A and B 144 km apart. First cyclist ride at speed of 8 km/hr, but Second cyclist fir…

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Two cyclists started toward each other from two points A and B 144 km apart. First cyclist ride at speed of 8 km/hr, but Second cyclist first covered 4 km in 1st hour, 5 km in 2nd hour and 6 km in 3rd hour and so on, So First cyclist will meet the second at what distance?
  • A80 km
  • B70 km
  • C72 km
  • D144 km
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Let the first cyclist be A and second one be B

Distance covered by A and B together in first hour = 8 + 4 = 12 km

Distance covered by A and B together in hour = 8 + 5 = 13 km and so on

Because B increases his speed by 1 km at every hour

So, in 9 hour they both will exactly cover 144 km

So A will meet B at half of the total distance = 1/2 × 144 = 72 km

∴ A will meet B after covering 72 km exactly