Posted by **johnny** on Thursday, July 30, 2009 at 4:22pm.

A family drove 1080 miles to their vacation lodge. Because of increased traffic density, their average speed on the return trip was decreased by 6 miles per hour and the trip took 2.5 hours longer. Determine their average speed on the way to the lodge.

Can someone help define a variable and write an equation?

- math -
**drwls**, Thursday, July 30, 2009 at 5:10pm
Sure, we can help with that.

Let V be the average speed GOING to the ladge, a distnce d = 1080 miles away.

V * T = 1080

(V-6)*(T+2.5) = 1080

Substitute 1080/V for T in the second equation and solve for V.

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