SOLUTION: 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 spe

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 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 spe      Log On


   

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?
Found 4 solutions by ewatrrr, MathTherapy, ikleyn, greenestamps:
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi  
Question States: 
Let s represent the speed prior to 4mph after 3hr

The total time spent sailing was 6hr    NOte:  3hr at each speed
The entire distance sailed was 60mi
How far did the ship travel in the first 3 h?
'2nd' 3 hrs... D = 4mpn(3hr) = 12mi
48mi - 12mi = 48mi, How far the ship travel in the first 3hrs

Wish You the Best in your Studies.


Answer by MathTherapy(10555) About Me  (Show Source):
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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?
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%2F3
Average speed during 2nd 3 hours: %2860+-+D%29%2F3
We then get the following SPEED equation: matrix%281%2C3%2C+D%2F3+-+4%2C+%22=%22%2C+%2860+-+D%29%2F3%29
                                         D - 12 = 60 - D ---- Multiplying by LCD, 3 
                                          D + D = 60 + 12
                                             2D = 72
  Distance traveled in 1st 3 hours, or highlight_green%28matrix%281%2C6%2C+D%2C+%22=%22%2C+72%2F2%2C+%22=%22%2C+36%2C+miles%29%29

Answer by ikleyn(52852) About Me  (Show Source):
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.

Is in this problem  " the "ship "  the same as  " the boat " ?


A well-intentioned attentive reader might be confused as you use different names for the same thing.



Answer by greenestamps(13203) About Me  (Show Source):
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3 hours at the first speed and a total of 6 hours means 3 hours at the second speed.

x = first speed
x-4 = second speed
3(x) = distance covered at first speed
3(x-4) = distance covered at second speed

The total distance was 60 miles:

3(x)+3(x-4) = 60
3x+3x-12 = 60
6x-12 = 60
6x = 72
x = 12

ANSWER: Distance covered at first speed = 3x = 3(12) = 36 miles