Question

4) 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

The soln has been uploaded in the form of photos.

Answer 2

SOLUTION

GIVEN

• 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.

TO DETERMINE

The fare for the first kilometre.

EVALUATION

Here it is given that he has to pay Rs. X for the first kilometre and for each kilometre Rs. Y for the next.

So fare for 10 kilometers

= Fare for first kilometre + Fare for 9 kilometers

= X + 9Y

So fare for 16 kilometers

= Fare for first kilometre + Fare for 15 kilometers

= X + 15Y

So by the given condition

X + 9Y = 40 - - - - - (1)

X + 15Y = 58 - - - - - (2)

Equation 2 - Equation 1 gives

6Y = 18

$\sf{ \implies \: Y = 3}$

From Equation 1 we get

X = 40 - 9Y

$\sf{ \implies \: X = 40 - 27}$

$\sf{ \implies \: X = 13}$

FINAL ANSWER

Hence the fare for the first kilometre = Rs. 13

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. If 2 pens and 3 copies costs Rs. 95 and 6 pens and 2 copies costs Rs. 110. Form linear equations to represent this situation

https://brainly.in/question/33627420

2. In Parul's garden, there are 25 rows of vegetables. She has five more rows of peppers than tomatoes and two fewer row...

https://brainly.in/question/13390089