Answer:
75 minutes
Step-by-step explanation:
To calculate the time it will take for Faisal to drive 100 km, we can use a proportion based on the given information:
[tex]\sf \dfrac{Time \; 1}{Distance\;1}=\dfrac{Time\;2}{Distance\;2}[/tex]
Given:
Substitute these values into the proportion:
[tex]\sf \dfrac{30\;min}{40\;km}=\dfrac{Time\;2}{100\;km}[/tex]
To find Time 2, we can multiply both sides by 100 km:
[tex]\sf \dfrac{30\;min}{40\;km}\times 100\;km=\dfrac{Time\;2}{100\;km} \times 100\;km[/tex]
[tex]\sf Time \; 2 = \dfrac{30 \; minutes \times 100 \; km}{40\;km}[/tex]
Solve for Time 2:
[tex]\sf Time \; 2 = \dfrac{30 \; minutes \times 100}{40}[/tex]
[tex]\sf Time \; 2 = \dfrac{3000 \; minutes}{40}[/tex]
[tex]\sf Time\;2=75\;minutes[/tex]
Therefore, it will take Faisal 75 minutes to drive 100 km.