Question 1166176

żAfter a sailboat had been on the water for 2 h. A change in the wind direction reduced the average speed of the boat by 2 mph. The entire distance sailed was 60 mi. The total time spent sailing was 4 h. How far did the sailboat travel in the first 2h?
<pre>Let the distance covered by the sailboat in the first 2 hours, be D
Then distance covered by the sailboat in the last 2 hours, was: 60 - D
We then get the following SPEED equation: {{{matrix(1,3, D/2 - (60 - D)/2, "=", 2)}}}
D - (60 - D) = 4 ------- Multiplying by LCD, 2
D - 60 + D = 4
2D = 64
Distance covered by the sailboat in the first 2 hours, or {{{highlight_green(matrix(1,6, D, "=", 64/2, "=", 32, miles))}}}