Respuesta :
Answer:
The Total distance she travel fro work is 30 miles .
Step-by-step explanation:
Given as :
the total time taken to cover distance = 45 minutes
Let The total distance cover = D miles
The distance cover at the speed of 32 mph = [tex]D_1[/tex] miles
The time taken to cover [tex]D_1[/tex] miles distance = [tex]\frac{1}{2}[/tex] hour
Distance = Speed × Time
∴ [tex]D_1[/tex] = 32 mph × [tex]\frac{1}{2}[/tex] h
or, [tex]D_1[/tex] = 16 miles
Again ,
The distance cover at the speed of 56 mph = [tex]D_2[/tex] miles
The time taken to cover [tex]D_2[/tex] miles distance = [tex]\frac{1}{4}[/tex] hour
∴ [tex]D_2[/tex] = 56 mph × [tex]\frac{1}{4}[/tex] h
or, [tex]D_2[/tex] = 14 miles
So , The total distance she travel for work = [tex]D_1[/tex] + [tex]D_2[/tex]
Or, The total distance she travel for work = 16 miles + 14 miles = 30 miles
Hence The Total distance she travel fro work is 30 miles . Answer
