SOLUTION: Hi a motorist travelled 1/3 of his journey 80km per hour for 4.5 hours. For the rest of the journey he took another 8 hours. On his return journey he took 12 hours to get home.

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Question 1124101: Hi
a motorist travelled 1/3 of his journey 80km per hour for 4.5 hours. For the rest of the journey he took another 8 hours. On his return journey he took 12 hours to get home.
what was the distance of the whole journey.
What was his average speed on the return journey.
for the first part, I calculated the distance as follows:1/3x =80x4.5
x = 1080 km
for part two my calculation was 1080km ÷12=90km per hour.
is this correct.
thanks
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a motorist travelled 1/3 of his journey 80km per hour for 4.5 hours. For the rest of the journey he took another 8 hours. On his return journey he took 12 hours to get home.
what was the distance of the whole journey.
d = distance of journey one-way
d/3 = 80*4.5 = 360 km
d = 1080 km
-------------------
What was his average speed on the return journey.
Return speed = 1080 km/12 hr = 90 km/hr
for the first part, I calculated the distance as follows:1/3x =80x4.5
x = 1080 km
for part two my calculation was 1080km ÷12=90km per hour.
is this correct.
Correct.