Respuesta :
Step 1
Find the distance Sanjay covers in a week
[tex]\begin{gathered} He\text{ covers 15 kilometers to work in two days} \\ \text{If he works 5 days a we}ek,\text{ then in 5 days he will cover;} \\ \frac{15\operatorname{km}}{xkm}=\frac{2\text{ days}}{5\text{ days}} \end{gathered}[/tex][tex]\begin{gathered} 2x=15\times5 \\ 2x=75 \\ \frac{2x}{2}=\frac{75}{2} \\ x=37.5\operatorname{km} \end{gathered}[/tex]So in a week he rides 37.5km to work.
Step 2
Find how many weeks Sanjay need to ride his bike to work in order to ride 150km.
[tex]\begin{gathered} \frac{1\text{ we}ek}{x\text{ we}eks}=\frac{37.5\operatorname{km}}{150\operatorname{km}} \\ 37.5x=150 \\ \frac{37.5x}{37.5}=\frac{150}{37.5} \\ x=4\text{weeks} \end{gathered}[/tex]Hence, Sanjay will need to ride his bike to work for 4 weeks to ride 150km
Answer; Option A. 4 weeks
