SOLUTION: A motorist traveled from Town A to Town B. After traveling 13 of the distance for [4] the journey at an average speed of 45 km/h, he continued to travel another 480
km to reach To
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km to reach To
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Question 879591: A motorist traveled from Town A to Town B. After traveling 13 of the distance for [4] the journey at an average speed of 45 km/h, he continued to travel another 480
km to reach Town B. If his average speed for the entire journey was 54 km/h, what was his average speed for the last 23 of the distance? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The 2nd sentence was unclear to me so I changed it to what I thought you meant.
:
A motorist traveled from Town A to Town B.
After traveling 1/3 of the distance at an average speed of 45 km/h, he continued to travel another 480 km to reach Town B.
If his average speed for the entire journey was 54 km/h, what was his average speed for the last 2/3 of the distance?
:
From the information given, find the total distance (d) from A to B d = 480
2d = 480 * 3
2d = 1440
d = 720 km
:
Find 1/3 of the total * 720 = 240 km
:
Let a = ave speed for the last 2/3 of the journey
:
write a time equation, time = dist/speed + =
multiply by Least common multiple, 270a
270a* + 270a* = 270a*
cancel the denomintors
6a(240) + 270(480) = 5a(720)
1440a + 129600 = 3600a
129600 = 3600a - 1440a
129600 = 2160a
a = 129600/2160
a = 60 km/hr for last 2/3 of the journey
:
:
Check this, find the times
240/45 = 5.33 hrs
480/60 = 8.00 hrs
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total: = 13.33 hrs
and
720/54 = 13.33 hrs
