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WILL MARK AS BRAINLIEST IF CORRECT!At noon, Doug drove west from a gas station to a motel. He reached the motel at 3 p.m. Also leaving at noon, Ashley drove east from the same gas station to her sister’s house. She arrived at 2:30 p.m. The driving distance from the motel to Ashley’s sister’s house is 341 mi. Ashley and Doug both drove at the same speed, r. Use the formula d=rt to solve. At what speed did Doug and Ashley both drive?

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Denote points:

  • G - gas station;
  • M - motel;
  • S - sister's home.

These three points lie on the same line in order M, G and S. The distance MS=341 mi and MS=GM+GS.

It takes Doug 3 hours to go to a motel from gas station (GM) and it takes 2.5 hours Ashley to go to a sister's home from gas station (GS). The total time is 3+2.5=5.5 hours.

Then using the formula d=rt, you can conclude that

341=5.5·r,

r=341:5.5,

r=62 mi/h.

Answer: 62 mi/h.

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