a man paid 160 while travelling 10 km another person paid 276 for 16 km another person charged double the fixed charge
Answers
Let the initial charge be x and the price per km be y
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STEP 1: Form the equation for the first man:
He was charged ₹160 for 10km
Express it in x and y:
x + 10y = 160
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STEP 2: Form the equation for the other man:
He was charged ₹276 for 16km
Express it in x and y:
2x + 16y = 276
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STEP 3: Solve for x and y:
x + 10y = 160 -----------------[ 1 ]
2x + 16y = 276 -----------------[ 2 ]
.
From [ 1 ]
x + 10y = 160
x = 160 - 10y -----------------[ sub into 2 ]
.
2x + 16y = 276
2(160 - 10y) + 16y = 276
320 - 20y + 16y = 276
4y = 44
y = 11 -----------------[ sub into 1 ]
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STEP 4: Find the km charge:
Km charge = x = ₹11
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Answer: (3) It cost ₹11 for every 1 km