A taxi service charges the following rates:
Distance travelled |
Charge |
First kilometre or less |
$3.10 |
Every 800 m thereafter or less |
$0.80 |
Diana paid a taxi fare of $7.10. What was the greatest distance that Diana could have travelled in the taxi? Give your answer in km.
Amount that Diana paid for the additional distance
= 7.10 - 3.10
= $4
Number of sets of $0.80 that Diana paid for the edditional distance
= 4 ÷ 0.80
= 5
Total additional distance that Diana could have travelled in the taxi
= 5 x 800
= 4000 m
1000 m = 1 km
4000 m = 4000 ÷ 1000 = 4 km
Greatest distance that Diana could have travelled in the taxi
= 1 + 4
= 5 km
Answer(s): 5 km