SOLUTION: From the town proper, Eric went to his farm riding on a bicycle at 15kph. He stayed in the farm for an hour. Leaving his bicycle behind, he took a bus which runs at 30 kph. If

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Question 1144885: From the town proper, Eric went to his farm riding on a bicycle at 15kph. He stayed in the farm for an hour. Leaving his bicycle behind, he took a bus which runs at 30 kph. If he was gone for 7 hours in his hometown, how far from the town was his farm?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let "d" be the distance under the question, in kilometers.


Then you have this time equation


    d%2F15 + 1 + d%2F30 = 7   hopurs.


Simplify


    d%2F15 + d%2F30 = 6.


Multiply both sides by 30


    2d + d = 180

    3d     = 180

     d     = 180/3 = 60.


ANSWER.  60 kilometers.


Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


He was at the farm for 1 hour, so the total travel time was 6 hours.

The ratio of the two speeds is 15:30 = 1:2; since the distances are the same, the ratio of the times at the two speeds is 2:1.

So the 6 hours total travel time was 4 hours by bicycle at 15kph and 2 hours by bus at 30kph.

So the distance to the farm is 4*15 = 2*30 = 60km.