The taxi charges in hyderabad have two components : fixed and per kilometer charge. Upto 3 km you will be charged a certain minimum amount. From there onwards you have to pay additionally for every kilometer travelled. For the first 10 km, the charge paid is 166rs. For a journey pf 15km the charge paid is 256rs
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Given The taxi charges in hyderabad have two components : fixed and per kilometer charge. Upto 3 km you will be charged a certain minimum amount. From there on wards you have to pay additionally for every kilometer travelled. For the first 10 km, the charge paid is 166 rs. For a journey pf 15km the charge paid is 256 rs
- What are the fixed charges and charge per km?
- how much does a person have to pay for travelling a distance of 25 km?
- Let the fixed charge be m
- Let the additional charge per kilometer be n
- Now according to the question
- m + (10 – 3) n = 166 since travelling charge for the first 3 km is fixed.
- So m + 7n = 166 --------1
- Now m + (15 – 3) n = 256 since travelling charge is fixed for first 3 km.
- So m + 12 n = 256 -------2
- Solving equations 1 and 2 we get
- m + 7n = 166
- m + 12n = 256
- 5n = 90
- Or n = 18
- m + 7n = 166
- m + 7(18) = 166
- m + 126 = 166
- m = 40
- Therefore the fixed charge is 40 and charge per km is 18
- For travelling a distance of 25 km a person has to pay
- so 25 x 18
- = 450 + 40
- = 490
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