Respuesta :
Answer:
The distance she took at reduce speed is 11.25 miles
Step-by-step explanation:
Given as :
The Distance cover from San Antonio before accident = D miles
The Distance cover after accident = ( 300 - D ) miles
The average speed before accident = 55 mph
The average speed after accident = 15 mph
Total time for the journey = 6 hours
Now, Time = [tex]\frac{Distane}{Speed}[/tex]
∴ [tex]\frac{D}{55}[/tex] + [tex]\frac{D - 300}{15}[/tex] = 6
Or, [tex]\frac{3 D + 11 ( 300 - D )}{165}[/tex] = 6
Or, [tex]\frac{3 D + 3300 - 11 D}{165}[/tex] = 6
Or, 3300 - 8 D = 165 × 6
Or, 3300 - 8 D = 990
Or, 8 D = 2310
∴ D = [tex]\frac{2310}{8}[/tex] = 288.75 miles
The distance travel at reduce speed = 300 - D
= 300 - 288.75
= 11.25 miles
Hence The distance she took at reduce speed is 11.25 miles
