question_answer

Refer situation 2

What will a person have to pay for travelling a distance of 30 km?

A) Rs 185

B) Rs 289

C) Rs 275

D) Rs 305  

Correct Answer: B

Solution :

As per the situation 2, the pair of linear is

x+8y=91                                              ...(i)

and   \[x+14y=145\]                              ...(ii)

On solving Eqs. (i) 4and (ii), we get

\[\Rightarrow \,\,\,\,y=9\]

Put y = 9 in Eq. (i), we get

\[x+8\times 9=91\]

\[\Rightarrow \,\,\,\,x=91-72=19\]

To travel a distance of 30 km, a person has to pay amount

\[=\text{ }x\text{ }+\text{ }30\times y\]

\[=19+30\times 9\]

=19+270

= Rs 289