James is running late to his cousin's wedding and drives the 45 miles between his house and the wedding location 20 miles per hour faster than the speed, r, that he drives to get home. It takes him t hours to get to the wedding and 1 hour to get home. Which equation best represents this information?

a r+20=rtr+20=rt
b (r+20)t=r(r+20)t=r
c 45=20t45=20t
d 45=(r+20)t+r

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08-11-2017
Mathematics

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James is running late to his cousin's wedding and drives the 45 miles between his house and the wedding location 20 miles per hour faster than the speed, r, that he drives to get home. It takes him t hours to get to the wedding and 1 hour to get home. Which equation best represents this information?

a r+20=rtr+20=rt
b (r+20)t=r(r+20)t=r
c 45=20t45=20t
d 45=(r+20)t+r

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W0lf93 W0lf93 · Answer 1 · 2017-11-18T18:54:15+01:00

The distance between the house and the wedding location is the same in both directions. We know that: distance = speed x time We can set up two equations for the distance. On the way to the wedding: distance = (r+20) (t) On the way home: distance = (r) (1 hour) = r Since the distance is the same in both directions, we can equate the two expressions for the distance. (r+20) t = r The correct answer is (b)