Question

Set solo takes 9hours 25minutes to complete a long walk. She walks (3t+2) km at 3km/h and further (t+4)km at 2km/h

1.express 9hours 25min in hours only. Leave your answer as an improper fraction

2.solve for t in the equation 9t+16 decide by 6 =113 over 12

Answer 1

1) $\frac{(3t+2)km}{3km/h}+\frac{(t+4)km}{2km/h}=\frac{113hrs}{12}$

2) $12(\frac{3t+2}{3})+12(\frac{t+4}{2})=\frac{113}{12}\times 12$

$4(3t+2)+6(t+4)=113$

$12t+8+6t+24=113$

$18t=81$

$t=4.5$