Dirty road

Mr. Smith is on a road trip to a remote disc golf course 180km away. He travels part of the way at 100km/h along the highway, and part of the way at 50km/h along dirt roads. If it took 2 hours to get there, how many hours did he spend on dirt roads?

Result

d =  20 km

Solution:

 d+h=180 d/50+h/100=2  d+h=180 2d+h=200  d=20 =20 km h=160  \ \\ d+h=180 \ \\ d/50 + h/100=2 \ \\ \ \\ d+h=180 \ \\ 2d+h=200 \ \\ \ \\ d=20 \ \\ =20 \ \text{km} \ \\ h=160 \ \\



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