SOLUTION: A man divides his total journey into three equal parts and decides to travel the three parts with speeds 60 km / hr , 24 km / hr and 45 km /hr . Find the average speed during the w

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Question 917706: A man divides his total journey into three equal parts and decides to travel the three parts with speeds 60 km / hr , 24 km / hr and 45 km /hr . Find the average speed during the whole journey ?
Found 2 solutions by MathTherapy, josgarithmetic:
Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

A man divides his total journey into three equal parts and decides to travel the three parts with speeds 60 km / hr , 24 km / hr and 45 km /hr . Find the average speed during the whole journey ?
Average speed: total_distance%2Ftotal_time
Average speed: highlight_green%281080%2F29%29, or highlight_green%2837.24138%29 km/h
You can do the check!!
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Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Imprecise problem statement.
Is the trip cut into three equal parts by time, or by distance?

Assuming the equal parts are by distance, let d be the distance of each part of the journey.
system%2860%2Ax=d%2C+24%2Ay=d%2C+45%2Az=d%29
system%28x=d%2F60%2C+y=d%2F24%2C+z=d%2F45%29
Total time is x%2By%2Bz=d%281%2F60%2B1%2F24%2B1%2F45%29

The denominators: 2*2*3*5, 2*2*2*3, 3*3*5
LCD is 2*2*2*3*3*5=360

Time is d%286%2F360%2B15%2F360%2B8%2F360%29=highlight_green%28d%2829%2F360%29%29.

Total distance is d%2Bd%2Bd=highlight_green%283d%29.

Question is, what is average speed for the journey.

Decide if this is what you want.