Sharon took a taxi from her office to home. Her taxi fare was based on the charges shown. The taxi stopped at a traffic light for 1 min 30 s and travelled a total distance of 5 km to reach Sharon's home. How much was her taxi fare? Ans: $ ___

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Worked solution

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1. Calculate the charge for the first 1 km

Charge for first 1 km = $3.40\char36{}3.40

2. Calculate the remaining distance and the number of 400 m blocks

Remaining distance = 5 km−1 km=4 km=4000 m5 \text{ km} - 1 \text{ km} = 4 \text{ km} = 4000 \text{ m}
Number of 400 m400 \text{ m} blocks = 4000÷400=104000 \div 400 = 10

3. Calculate the charge for the additional distance

Charge for additional distance = 10×$0.25=$2.5010 \times \char36{}0.25 = \char36{}2.50

4. Calculate the number of 45-second blocks for waiting time

Waiting time = 1 min 30 s=60 s+30 s=90 s1 \text{ min } 30 \text{ s} = 60 \text{ s} + 30 \text{ s} = 90 \text{ s}
Number of 45 s45 \text{ s} blocks = 90÷45=290 \div 45 = 2

5. Calculate the charge for waiting time

Charge for waiting time = 2×$0.25=$0.502 \times \char36{}0.25 = \char36{}0.50

6. Calculate the total taxi fare

Total fare = $3.40+$2.50+$0.50=$6.40\char36{}3.40 + \char36{}2.50 + \char36{}0.50 = \char36{}6.40

Answer

6.40

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