Question 1197006

 After a ship had been on the water for 3 h, a change in the wind direction reduced the average speed of the boat by 4 mph. The entire distance sailed was 60 mi. The total time spent sailing was 6 h. How far did the ship travel in the first 3 h? 

______Mi?
<pre>She's WRONG! Distance traveled in 1st 3 hours is NOT 48 miles

Let distance traveled in 1st 3 hours be D
Then distance traveled in 2nd 3 hours = 60 - D
Average speed during 1st 3 hours: {{{D/3}}}
Average speed during 2nd 3 hours: {{{(60 - D)/3}}}
We then get the following SPEED equation: {{{matrix(1,3, D/3 - 4, "=", (60 - D)/3)}}}
                                         D - 12 = 60 - D ---- Multiplying by LCD, 3 
                                          D + D = 60 + 12
                                             2D = 72
  Distance traveled in 1st 3 hours, or {{{highlight_green(matrix(1,6, D, "=", 72/2, "=", 36, miles))}}}</pre>