Question
A consultant charges Rs. 50 per km for cab travel and
Rs. 30 per km for auto travel. In a week, he travelled 150 km in total and claimed Rs. 5400. How many km did he travel by cab?Solution
ATQ, Let cab distance = x km Let auto distance = y km x + y = 150 ………………..(1) 50x + 30y = 5400 From (1), x = 150 – y So, 50(150 – y) + 30y = 5400 7500 – 50y + 30y = 5400 20y = 2100 y = 105 And, x = 150 – 105 = 45
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