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If I travelled the first one-third of my journey between

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If I travelled the first one-third of my journey between [#permalink] New post 17 Jan 2004, 13:43
If I travelled the first one-third of my journey between Sunniville and Gloomiville ata a speed of 60 km/hr and the remaining distance at 75 km/hr, what is the average speed of my travel?

a. 67.5 kmph
b. 69.25
c. 66.67
d. 68.5
e. 64.2
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 [#permalink] New post 17 Jan 2004, 14:26
B.69.25
solution:
x/3*60+2x/3*75=69.25
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 [#permalink] New post 17 Jan 2004, 21:51
This is how i solved it.

Pick a nice distance that can easily be divided by 60 and 75 such as 900.

Find the time it took for each 3rd of the trip.

so...1st 3rd 300/60 = 5hour
2nd 3rd 300/75 = 4hr
3rd 3rd 300/75 = 4hr

so total distance/total time = 900/13 = 69.23 closest to 69.25

Shubhangi, i couldnt really figure out your equation, can you explain it a little more? Using your equation I got 1/3 * 60 + 2/3 * 75 = 70, which is closest to the answer but is that the right way of solving it?
  [#permalink] 17 Jan 2004, 21:51
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