WAEC Mathematics 2015 Objective — Question 40
Question 40 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.
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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 15km, how far would the vehicle go on 9 litres of petrol?
- A. 22½ kmCorrect
- B. 30 km
- C. 33¾ km
- D. 45 km
Explanation
c=kd² → k=4/15²=4/225. For c=9: 9=(4/225)d² → d²=(9×225)/4=506.25 → d=22.5km = 22½ km.
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