Question

Carson walked 6 1/2 mi in 2 h. How long will it take him to walk 16 1/4 mi at the same speed?

[ ] h

Answer 1

`6 (1)/(2)mi.......2h \\\\ 16(1)/(4)mi........x \\\\ \hbox{Introduce the units in the fractions} \\\\\\ (13)/(2)mi.........2h \\\\ (65)/(4)mi.........x \\\\ \hbox{Solve the proportion obtained:} \\\\ x= ((65)/(\\ot4)\\ot mi*\\ot2h)/((13)/(2)\\ot mi) \\\\ \hbox{Simplify the units of measurement and 4 with 2 } \\\\\\ x=((65)/(2)h)/((13)/(2)) \\\\ x= (\\ot65)/(\\ot2)h* (\\ot2)/(\\ot13) \\\\ \hbox{Simplify 65 and 13 throw 13 and 2 with 2} \\\\ \boxed{x=5 \ hours}`