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Question
a delivery service follows a fixed schedule and stops at various law offices along a route. the delivery schedule is shown below.
legal document delivery route 8a
mitchell, mitchell, and johnson law offices 8:36 am 9:19 am 10:02 am 10:45 am 11:28 am 12:11 pm
law advisement center 9:27 am 10:10 am 10:53 am 11:36 am 12:19 pm 1:02 pm
real estate law group 10:18 am 11:01 am 11:44 am 12:27 pm 1:10 pm 1:53 pm
harrigan & harrigan partnership 11:11 am 11:54 am 12:37 pm 1:20 pm 2:03 pm 2:46 pm
j.p.gregg law office 12:04 pm 12:47 pm 1:30 pm 2:13 pm 2:56 pm 3:39 pm
downtown law center 12:54 pm 1:37 pm 2:20 pm 3:03 pm 3:46 pm 4:29 pm
james gibbs has tax books at the real estate law group that need to be delivered to the j.p.gregg law office.
the tax books have to be at the j.p.gregg law office by 3:26 pm. what is the latest time james can put them on the delivery van and still have them arrive at the j.p.gregg law office in time?
am
pm
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Step1: Identify relevant stop times
First, find the latest stop at Real Estate Law Group that is before a J.P.Gregg Law Office stop by 3:26 pm.
Real Estate Law Group stops: 10:18 am, 11:01 am, 11:44 am, 12:27 pm, 1:10 pm, 1:53 pm
J.P.Gregg Law Office stops (before 3:26 pm): 12:04 pm, 12:47 pm, 1:30 pm, 2:13 pm, 2:56 pm
Step2: Match stops chronologically
Pair each Real Estate stop with the next J.P.Gregg stop:
- 10:18 am → 12:04 pm
- 11:01 am → 12:47 pm
- 11:44 am → 1:30 pm
- 12:27 pm → 2:13 pm
- 1:10 pm → 2:56 pm
- 1:53 pm → next J.P.Gregg stop is 3:39 pm (too late, after 3:26 pm)
Step3: Select valid latest pickup
The last valid pair is 1:10 pm (Real Estate) → 2:56 pm (J.P.Gregg, which is before 3:26 pm). The 1:53 pm pickup would result in a 3:39 pm delivery, which misses the deadline.
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