WAEC Mathematics 2015 Question 40

Question 40

Variation

The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If 4 litres of petrol is consumed on a distance of 15 km, how far would the vehicle go on 9 litres of petrol?

  1. A.22½ km
  2. B.30 km
  3. C.33¾ km
  4. D.45 km
Show the answer and explanation

Answer: A (22½ km)

Explanation

R = kD²: 4 = k × 225. Then 9 = (4/225)D², so D² = 506.25 and D = 22½ km.