Step 1
Find the distance Sanjay covers in a week
![\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}]()
![\begin{gathered} 2x=15*5 \\ 2x=75 \\ (2x)/(2)=(75)/(2) \\ x=37.5\operatorname{km} \end{gathered}]()
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.
![\begin{gathered} \frac{1\text{ we}ek}{x\text{ we}eks}=\frac{37.5\operatorname{km}}{150\operatorname{km}} \\ 37.5x=150 \\ (37.5x)/(37.5)=(150)/(37.5) \\ x=4\text{weeks} \end{gathered}]()
Hence, Sanjay will need to ride his bike to work for 4 weeks to ride 150km
Answer; Option A. 4 weeks