SOLUTION: jannice drove 30 mi to work each day and pick up a friend on the way. if she was able to average 40 mi/h on the trip and drove 15 min longer with the friend than without him, how f

Question 1201021: jannice drove 30 mi to work each day and pick up a friend on the way. if she was able to average 40 mi/h on the trip and drove 15 min longer with the friend than without him, how far did she live from his friends house?
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

30 miles averaging 40 mph means the time for the trip was 30/40 = 3/4 hours, or 45 minutes.

Use formal algebra or simple logical reasoning and mental arithmetic to determine that, since she drove 15 minutes longer with her friend than without, she drove 30 minutes with him and 15 minutes without him.

So she drove 1/4 hour at 40 mph to get to her friend's house, making the distance from home to her friend's house 10 miles.

ANSWER: 10 miles

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