SOLUTION: A motorist traveled from Town A to Town B. After traveling 1/3 of the distance for the journey at an average speed of 45 km/h, he continued to travel another 480 km to reach Town B

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Question 937531: A motorist traveled from Town A to Town B. After traveling 1/3 of the distance for 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 2/3 of the distance?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = speed for last 2/3
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s = d/t
t = d/s
d = st
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distance for last 2/3:
d = 480 km
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total distance:
(2/3)d = 480
d = 480*3/2
d = 720 km
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distance for first 1/3:
720 - 480 = 240 km
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time for first 1/3:
t = 240/45
t = 5.33333333333 hr
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total time:
t = 720/54
t = 13.3333333333 hr
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time for last 2/3:
t = 13.3333333333 - 5.33333333333
t = 8 hr
---
speed for last 2/3:
x = 480/8
x = 60 kph
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