Multiple choice

The speed of a car increases by 4 kmph after every one hour. If the distance travelled in the first one hour is 32 km, what was the total distance travelled by the car in 11 hours? (in km.)

  1. 572

  2. 584

  3. 564

  4. 612
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initial speed = 32 kmph (distance in 1st hour). Speed increases by 4 kmph each hour: 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72. Total distance = sum of this arithmetic progression = 11/2 × (2×32 + 10×4) = 11/2 × 104 = 572 km. Option D (612) would result from using n = 12 instead of 11 hours.

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