Question on: WAEC Mathematics - 2015
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
22\(\frac{1}{2}\)km
B
30km
C
33\(\frac{1}{2}\)km
D
45km
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Correct Option: A
R (\alpha) D2
R = D2K
R = 4 Litres when D = 15cm
thus; 4 = 152k
4 = 225k
k = (\frac{4}{225})
This gives R = (\frac{4D^2}{225})
Where R = 9litres
equation gives
9 = (\frac{4D^2}{225})
9 x 225 = 4d2
D2 = (\frac{9 \times 225}{4})
D = (\sqrt{9 \times 225}{4})
= (\frac{3 \times 15}{2})
= 22(\frac{1}{2})km
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