Multiple choice

The speed of a bike is increased by (5) km/hr. in every half hour. Find the total distance travelled by it in 3 hours, if its initial speed is (25) km/hr.

  1. $450 km.$
  2. $390 km.$
  3. $225 km.$
  4. $195 km.$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The speeds are: 25, 30, 35, 40, 45, 50 km/hr for 6 half-hour intervals. Distance = sum of (speed × 0.5 hours) = 0.5 × (25+30+35+40+45+50) = 0.5 × 225 = 112.5 km. Since the speed increases every half hour, in 3 hours (6 intervals), total distance is 112.5 km. However, the options suggest this may be an arithmetic progression problem where distance = sum of speeds × time = 25 + 30 + 35 + 40 + 45 + 50 = 225 km (summing speeds directly without the 0.5 factor). The answer 225 km (Option C) assumes this interpretation.