Question

From the railway station I took a rickshaw to go home. It is decided

that I have to pay Rs. X for the first kilometre and for each kilometre Rs.

Y for the next. For 10 kilometres the fare is Rs. 40 and for 16 kilometres

fare is Rs. 58. Find the fare for the first kilometre.​

Answer 1

Answer :

fare for the first kilometer is 10 rupees

Step-by-step explanation:

acc. to 1st condition :

x + 10y = 40 ........(1)

acc. to 2md condition :

x + 16y = 58 .......(2)

on solving eq. (1) ;

x = 40 - 10y .......(3)

put value of x from (3) to (2) :

=40 -10y + 16y = 58

= 40 + 6y = 58

= 6y = 58 - 40

= 6y = 18

= y = 18/6

= y = 3

put value of y in eq. (3) :

= x = 40 - 10 × 3

= x = 40-30 = 10