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Source: — Problem Solving |

by OptimusPrep » Sat Apr 16, 2016 4:17 am
eitijan wrote:IMO D
Distance covered by XJR = 15x + 8y = 27000 - (i)
Distance covered by Colthe GT = 12x + 10y = 27000 - (ii)

Since we are told that the distance covered by both the cars = 270000
Therefore,
15x + 8y = 12x + 10y
3x = 2y - (iii)

Substituting the value in (i),
5*(3x) + 8y = 27000 or 5*(2y) + 8y = 270000
18y = 270000
y = 15000

From eq (iii), we get x = 2y/3 = 2*15000/3 = 10000
Therefore (x + y) = 25000

Option D
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