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Solution of ex 3.3 question 3.(4) |
| Answer» The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs 105 and for a journey of 15 km, the charge paid is Rs 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25 km?Solution:Let the fixed charge be Rs x and per km charge be Rs y.According to the question,x + 10y = 105 …………….. (1)x + 15y = 155 …………….. (2)From (1), we get x = 105 – 10y ………………. (3)Substituting the value of x in (2), we get105 – 10y + 15y = 1555y = 50y = 10 …………….. (4)Putting the value of y in (3), we getx = 105 – 10 × 10 = 5Hence, fixed charge is Rs 5 and per km charge = Rs 10Charge for 25 km = x + 25y = 5 + 250 = Rs 255 | |