14 The table shows the parking charges at
Jewel Changi Airport.
$0.04/minute
CV
First 90 minutes
Subsequent 30 minutes
or part thereof
$5.00/30 minutes
Jackie parked his car at Jewel Changi Airport
for t minutes. Given that he spent not more
than $20 on parking charges, find the
maximum possible value of t.
![](https://hi-static.z-dn.net/files/dd8/012dac349f9d688b23e4a80b1212a940.jpg)
Answers
Given : the parking charges at Jewel Changi Airport.
Jackie parked his car at Jewel Changi Airport for t minutes.
he spent not more than $20 on parking charges,
To find : the maximum possible value of t.
Solution:
Charges for 1st 90 minutes = $0.04 per minute
=> charges for 90 minutes = 90 x 0.04 = 3.6$
Spent on charging = 20 $
Remaining charges < 20 - 3.6 = 16.4$
Charges for 30 minutes or part of it = $5
let say he used n slot of 30 minutes hence charges = 5n
5n ≤ 16.4
=> n ≤ 3.28
=> n = 3
as n must be integer
so 3 slots of 30 minutes + 90 minutes initially
so total time = 3 * 30 + 90 = 180 minutes
Maximum possible value of t = 180
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