SOLUTION: A boat completed one quarter of it's journey at 9 30 and two thirds at 10 50. Assuming a constant speed what time did it start and finish?

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Question 764178: A boat completed one quarter of it's journey at 9 30 and two thirds at 10 50. Assuming a constant speed what time did it start and finish?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A boat completed one quarter of it's journey at 9:30 and two thirds
at 10:50.
Assuming a constant speed what time did it start and finish?
:
Let the total journey = 1
Find the portion of the journey covered between 9:30 and 10;50
2%2F3 - 1%2F4 = 8%2F12 - 3%2F12 = 5%2F12 of the journey
Find the no. of minutes between 9:30 and 10:50 = 80 minutes
:
Distance varies directly with time, use a ratio equation
Let t = total time for the journey
%285%2F12%29%2F1 = 80%2Ft
Cross multiply
5%2F12t = 80 * 1
t = 80*12%2F5
t = 192 minutes for the whole journey
:
Start time to 9:30; 1%2F4 * 192 = 48 minutes
Start time = 9:30 - 48 min = 8:42 is the start time
:
Find the completion time
8:42 + 192 min = 8:42 + 3:12 = 11:54 is the completion time