Page 898 - Algebra 1

One way to solve a problem when you know the ending value is to work backward. Working Backward to Solve a Problem
A plane left Tulsa, Oklahoma and flew for 5 hours and 45 minutes to Orlando, Florida, where there was a layover for 3 hours and 10 minutes. From Orlando, Florida, the plane flew 1 hour and 20 minutes and arrived in the Bahamas at
10:00 a.m. on Monday. The Bahamas time is 1 hour ahead of the Tulsa time. What time did the plane leave Tulsa, Oklahoma?
Understand
Find the time the plane left Tulsa, Oklahoma.
You know when the plane landed in the Bahamas, the lengths of the stops that were made, and the time difference between Tulsa and the Bahamas.
Plan
Start at the end of the trip when the plane landed in the Bahamas. Work backward from the time the plane landed in the Bahamas. Then apply the time difference between the two cities.
Solve
Subtract the length of time it took to fly from Orlando, Florida, to the Bahamas. 10:00 - 1 hour and 20 minutes = 8:40 a.m. Monday
Subtract the layover in Orlando, Florida.
8:40 - 3 hours and 10 minutes = 5:30 a.m. Monday
Subtract the length of the flight from Tulsa to Orlando.
5:30 - 5 hours and 45 minutes = 11:45 p.m. Sunday
Since the Bahamas is 1 hour ahead of Tulsa time, subtract the difference. 11:45 - 1 hour = 10:45 p.m. Sunday
The plane left Tulsa at 10:45 p.m. Sunday night.
Check
Work forward to check your answer.
Sunday:
10:45 p.m. + 1 hour + 5 hours 45 minutes + 3 hours 10 minutes + 1 hour 20 minutes = 10:00 a.m. The flight arrived in the Bahamas at 10:00 a.m. on Monday.
Skills Bank Practice
a. A bus arrives in Dallas, Texas, at 11:00 on Saturday morning. The bus started from San Francisco, California, and took 16 hours to arrive in Tulsa, Oklahoma. From Tulsa it took 6 hours to get to Dallas. What time did the bus leave San Francisco? (Note: There is a two-hour difference in time zones, with California being
Example
7
two hours earlier than both Oklahoma and Texas.)
Skills Bank 883
SKILLS BANK