Answer:
Option d. 5
Step-by-step explanation:
A drawbridge takes [tex]1\frac{1}{2}[/tex] minutes to rise [tex]\frac{6}{20}[/tex] of its total height.
Let the total height of the drawbridge is h units
∵ Drawbridge rises [tex]\frac{6h}{20}[/tex] units in the time = [tex]\frac{3}{2}[/tex] minutes
∴ Drawbridge rises 1 unit in the time = [tex]\frac{\frac{3}{2} }{\frac{6h}{20}}[/tex] minutes
∴ Drawbridge rises h units in the time = [tex]\frac{\frac{3}{2} }{\frac{6h}{20}}\times h[/tex]
= [tex]\frac{3h}{2}\times \frac{20}{6h}[/tex]
= [tex]\frac{60}{12}[/tex]
= 5 minutes
Option d. 5 minutes is the answer.
