SOLUTION: After a sailboat has been on the water for 3h, a change in the wind direction reduced the average speed of the boat by 5mph. The entire distance sailed was 57mi. The total time spe
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Question 159800: After a sailboat has been on the water for 3h, a change in the wind direction reduced the average speed of the boat by 5mph. The entire distance sailed was 57mi. The total time spent sailing was 6h. How far did the sailboat travel the in the first 3 h? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! After a sailboat has been on the water for 3h, a change in the wind direction
reduced the average speed of the boat by 5mph. The entire distance sailed was
57mi. The total time spent sailing was 6h. How far did the sailboat travel the
in the first 3 h?
:
Let s = speed of the boat the 1st three hrs
then
(s-5) = reduced speed during the last 3 hrs
:
Write a distance equation; Dist = time * speed
:
Initial dist + reduced speed dist = 57 mi
3s + 3(s-5) = 57
:
3s + 3s - 15 = 57
:
6s = 57 + 15
:
6s = 72
:
s =
s = 12 mph hr
therefore
3 * 12 = 36 mi in the 1st 3 hrs
:
:
Check solution by finding the total dist (reduced speed = 12 - 5 = 7 mph)
36 + 7(3) = 57 mi
