SOLUTION: A plane travels 1st one quarter of a journey in 6hrs. During the next 4hrs it covers one third of the remaining journey, but still has 4000mi to go. 1) What is distance of tota

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Question 274438: A plane travels 1st one quarter of a journey in 6hrs. During the next 4hrs it covers one third of the remaining journey, but still has 4000mi to go.
1) What is distance of total journey?
2) What is the average speed?
I think the answer is 8000mi total jorney and avg speed is 400mi/hr. Am I right?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = total journey
Let v = average velocity
given:
(1) d+=+d%2F4+%2B+%281%2F3%29%2A%283%2F4%29%2Ad+%2B+4000
(2) v+=+%28d+-+4000%29%2F10
------------------
(1) d+=+d%2F4+%2B+%281%2F3%29%2A%283%2F4%29%2Ad+%2B+4000
4d+=+d+%2B+d+%2B+16000
2d+=+16000
d+=+8000 mi
and
(2) v+=+%288000+-+4000%29%2F10
v+=+4000%2F10
v+=+400 mi/hr
You were correct