# 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 :

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by chu

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by chu

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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

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