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A cyclist, after riding a certain distance, stopped for half an hour to repair his bicycle, after which he completes the whole journey of 30km at half speed in 5 hours. If the breakdown had occurred 10 km farther off, he would have done the whole journey is 4 hours. Find where the breakdown occurred and his original speed.

  1. 5km/hr,10km

  2. 10km/hr,10km

  3. 10km/hr,5km

  4. 5km/hr,5km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original speed be v and distance to breakdown be x. The equations derived from the two scenarios (30km total) lead to v = 10 km/hr and x = 10 km.

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