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Raj travels a part of his journey by taxi paying Rs. 15 per km and rest by train paying rs. 21 per km. If he travels total 450 km and pays rs. 8130, the

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let the distance travelled by taxi be x so the distance travelled by train=450-x

the total cost paid by him is 8130 ATQ, 15x+(450-x)21=8130 ⇒15x+9450-21x=8130 ⇒1320=6x ⇒x=220 km So the distance travelled by taxi is 220 km and distance travelled by train is 230km

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Let raj travelled by taxi and train be x,y respectively then, x+y=450 ....(1) and 15x+21y=8130......(2) subtracting 2 from 1 15x+21y=8130*1 x+y =450*15 ______________ 15x+21y=8130 15x+15y=6750 (-) (-) (-) ____________ 6y=1380 y=1380/6 y=230 substituiting y in (1) x+y=450 x=450-230 x=220 Therefore km travelled by car is 220 and by train is 230