SOLUTION: Emily traveled 60 miles on the highway and 16 miles on the local roads to reach her destination. On the highway, she traveled 30 miles faster than on local roads. If her speed on l

Question 1183207: Emily traveled 60 miles on the highway and 16 miles on the local roads to reach her destination. On the highway, she traveled 30 miles faster than on local roads. If her speed on local roads is 20 miles per hour, then what was her average speed, in miles per hour, during her entire trip?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
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Emily traveled 60 miles on the highway and 16 miles on the local roads to reach her destination.
On the highway, she traveled 30 miles faster than on local roads.
If her speed on local roads is 20 miles per hour, then what was her average speed, in miles per hour, during her entire trip?
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Average speed is the entire travel distance divided by the whole travel time. The entire distance is 60+16 = 76 miles. The time traveled on highway was = = of an hour. The time traveled on the local road was = of an hour. The total time was + = = 2 hours. The average speed is 76 miles divided by 2 hours = = 38 miles per hour. ANSWER

Solved.

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Comment from student : 𝑣 =(60+16)/(60/(30+20)+16/20) v=76/(60/50+4/5) v=76/(6/5+4/5) v=76/((10/5)) v=76/2=38 miles per hour

My response :   Honestly, I didn't get for what reason you posted me this comment.

Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
You mean, she traveled 30 miles per hour faster than on local roads?

SPEED miles per hour TIME hours DISTANCE miles Highway 20+30 60/50=6/5 60 Local 20 16/20=4/5 16 TOTALS 10/5=2 76

Average speed for total trip,
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