A taxi service charges the following rates:
Distance travelled |
Charge |
First kilometre or less |
$2.90 |
Every 800 m thereafter or less |
$0.50 |
Zoe paid a taxi fare of $5.90. What was the greatest distance that Zoe could have travelled in the taxi? Give your answer in km.
Amount that Zoe paid for the additional distance
= 5.90 - 2.90
= $3
Number of sets of $0.50 that Zoe paid for the edditional distance
= 3 ÷ 0.50
= 6
Total additional distance that Zoe could have travelled in the taxi
= 6 x 800
= 4800 m
1000 m = 1 km
4800 m = 4800 ÷ 1000 = 4.8 km
Greatest distance that Zoe could have travelled in the taxi
= 1 + 4.8
= 5.8 km
Answer(s): 5.8 km