SOLUTION: Lance wanted to see how long it would take to ride 100 miles. After 2 hours of riding, he had only gone 30 miles. He increased his speed by 5 mi/h and maintained that pace for th

Algebra ->  Proportions  -> Lessons -> SOLUTION: Lance wanted to see how long it would take to ride 100 miles. After 2 hours of riding, he had only gone 30 miles. He increased his speed by 5 mi/h and maintained that pace for th      Log On


   



Question 198121: Lance wanted to see how long it would take to ride 100 miles. After 2 hours of riding, he had only gone 30 miles. He increased his speed by 5 mi/h and maintained that pace for the rest of the trip. How long did it take Lance to ride 100 miles?
What I've done so far: I took the 30 miles divided it by 2 hours; got that he's traveling at 15 mi/h. I then took the 15 mi/h and added 5 mi/h; to get 20 mi/h that he'll travel for the rest of the trip. Then here's where I get confused, I used the formula time = distance over time. which would be time = 70 mi. left over 20 mi/h. I came up with 3.5 hours to ride the remaining 70 miles. I then would add 2 hours with the 3.5 hours to get 5.5 hours. It would take Lance 5.5 hours to ride 100 miles. Is this correct?

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