# 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 distance travelled by rail is :

2
by chu

2014-10-07T00:28:36+05:30

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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
2014-10-07T17:50:35+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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