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.
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Answered by
43
Step-by-step explanation:
for 1st km the fare is x
for each km the fare is y
we take common difference (d)= y
fare for 10km=₹40
fare for 16km=₹58
in A.P
10th term=x+9y__equation1
16th term=x+15y__equation
subtract equation 1 and 2
x+9y=40
x+15y=58
0-6y = -18
y= -6y/-18y
y=3
substitute y value in equation 1
x+9y=40
x+9(3)=40
x=40-27
x=13 .
. . fare for first km =₹13
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