Question

An employee may claim rs.15 for each km which he travels by taxi and rs. 5 for each km which he drives his own car. If in one week he claimed rs. 500 for travelling 80 km. How many km did he travel by taxi ?

Answer 1

Answer:

Step-by-step explanation:

Let us assume the distance travelled by car is x.

The distance travelled by taxi is y

Thus x+y=80 -- 1

And 15y+5x=500

Multiplying eq.1 by 5, we get

5x +5y =400 --2

And 5x+15y=500 --3

Subtracting 2 from 3,

5x-5x +15y -5y= 500-400

= 10y=100

=y =100/10=10

Thus distance by taxi =10 km and distance by car =x =400 -5y (from 2)

= x= 400-50 =350 km