Acyclist travels 2/3 of his journey at the average speed of 12 miles per hour. he then travels the remaining 30 miles of his journey in 3 hours. how long does his trip take?

If the cyclist traveled 2/3 of his journey already, then the remainder would be 1/3 of his journey, which we know is 30 miles. Double that and we have the miles he traveled during the first 2/3, 60. Then divide 60 by the miles per hour, 12, to get 5 hours. Add in the 3 hours from the remaining 1/3 of the journey and you have your total; the cyclist's trip took 8 hours.

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