SOLUTION: a motorist drove a for 2 hours at one speed & then for 3 hours at another speed & one hour at the second speed, he would have covered 2444km. find the two speeds.

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Question 257415: a motorist drove a for 2 hours at one speed & then for 3 hours at another speed & one hour at the second speed, he would have covered 2444km. find the two speeds.
Answer by drk(1908) (Show Source):
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This is an RTD problem. Here is a table base on given information:
motorist . . . . . . . . .rate . . . . . . . . . .time . . . . . . . . . .distance
. . . . . . . . . . . . . . .. R1 . . . . . . . . . . . .2 . . . . . . . . . .. . 2R1
. . . . . . . . . . . . . . . .R2 . . . . . . . . . . . .3 . . . . . . . . .. . .3R2
. . . . . . . . . . . . . . . R2 . . . . . . . . .. . . . 1 . . . . . . . . .. . .1R2
. . . . . .. . . . . . . . . . .. .. . . . . . . . . . .6 . . . . . .. . . . . . .2444
We see that
(i)
or dividing by 2, we get
(ii)
and that the average rate is
avgR = 2444/6 = 407.33
This means that
(iii)
or
(iv)
substituting (iv) into (ii) we get
(v)
(vii)
solving for R2, we get

This makes R1

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The rates appear to be the same.