Answer:120 min
Explanation:
Given
Amanda spent [tex]\frac{2}{5}[/tex] of her time after school doing Home work
And [tex]\frac{1}{4}[/tex] of her remaining time riding her bike
It is given that she rode her bike for 45 minutes in a week
Let t be the time after school
therefore Amanda spend [tex]\frac{2t}{5}[/tex] in home work and [tex]\frac{3t}{5}[/tex] time is left
From remaining [tex]\frac{3t}{5}[/tex] time she spends [tex]\frac{1}{4}[/tex] time riding her bike
therefore [tex]\frac{3t}{5}\times \frac{1}{4}=45[/tex]
thus [tex]t=300 min[/tex]
therefore time spent on home work is [tex]\frac{2}{5}\times 300=120 min[/tex]
