Sure, let's break down the problem step by step and calculate the fare for each given distance.
The taxi fare is calculated as follows:
1. There is a minimum fare of Rs. 14.
2. For each kilometer traveled, an additional Rs. 7.80 is charged.
Given these rates, let's calculate the fare for each distance:
### (a) 4 km
- Minimum fare: Rs. 14
- Additional charge per km: Rs. 7.80
- Distance: 4 km
Calculation:
[tex]\[ \text{Total Fare} = \text{Minimum Fare} + (\text{Distance} \times \text{Rate per km}) \][/tex]
[tex]\[ \text{Total Fare} = 14 + (4 \times 7.80) \][/tex]
[tex]\[ \text{Total Fare} = 14 + 31.20 \][/tex]
[tex]\[ \text{Total Fare} = Rs. 45.20 \][/tex]
So, the fare for 4 km is Rs. 45.20.
### (b) 9 km
- Minimum fare: Rs. 14
- Additional charge per km: Rs. 7.80
- Distance: 9 km
Calculation:
[tex]\[ \text{Total Fare} = \text{Minimum Fare} + (\text{Distance} \times \text{Rate per km}) \][/tex]
[tex]\[ \text{Total Fare} = 14 + (9 \times 7.80) \][/tex]
[tex]\[ \text{Total Fare} = 14 + 70.20 \][/tex]
[tex]\[ \text{Total Fare} = Rs. 84.20 \][/tex]
So, the fare for 9 km is Rs. 84.20.
### (c) 13 km
- Minimum fare: Rs. 14
- Additional charge per km: Rs. 7.80
- Distance: 13 km
Calculation:
[tex]\[ \text{Total Fare} = \text{Minimum Fare} + (\text{Distance} \times \text{Rate per km}) \][/tex]
[tex]\[ \text{Total Fare} = 14 + (13 \times 7.80) \][/tex]
[tex]\[ \text{Total Fare} = 14 + 101.40 \][/tex]
[tex]\[ \text{Total Fare} = Rs. 115.40 \][/tex]
So, the fare for 13 km is Rs. 115.40.
### (d) 15 km
- Minimum fare: Rs. 14
- Additional charge per km: Rs. 7.80
- Distance: 15 km
Calculation:
[tex]\[ \text{Total Fare} = \text{Minimum Fare} + (\text{Distance} \times \text{Rate per km}) \][/tex]
[tex]\[ \text{Total Fare} = 14 + (15 \times 7.80) \][/tex]
[tex]\[ \text{Total Fare} = 14 + 117.00 \][/tex]
[tex]\[ \text{Total Fare} = Rs. 131.00 \][/tex]
So, the fare for 15 km is Rs. 131.00.
By calculating the fare in this manner, we get the following results:
- For 4 km, the fare is Rs. 45.20
- For 9 km, the fare is Rs. 84.20
- For 13 km, the fare is Rs. 115.40
- For 15 km, the fare is Rs. 131.00
