A truck driver averages 45 miles per hour while delivering freight and 60 miles per hour on the return
trip. The total drive time is 7 hours. How long does each trip take?

pls send help a girl is struggling

Respuesta :

Answer:

Delivery Trip: 3 hours

Return Trip: 4 hours

Step-by-step explanation:

d/60 + d/45 = 7

45d/2700 + 60d/2700 = 7

105d/2700 = 7

105d = 18900

d = 180

180/60 = 3

180/45 = 4

Answer:

delivering 180/45 = 4 hours and return trip 180/60 = 3 hours

Step-by-step explanation:

d = unknown number to calculate each trip

[tex]\frac{d}{45}[/tex] + [tex]\frac{d}{60}[/tex] = 7

find common denominator (45 * 60 = 2700)

([tex]\frac{60}{60}[/tex])*([tex]\frac{d}{45}[/tex]) +( [tex]\frac{45}{45}[/tex])*([tex]\frac{d}{60}[/tex]) =7

[tex]\frac{60d}{2700}[/tex] + [tex]\frac{45d}{2700}[/tex] =7

[tex]\frac{60d + 45d}{2700}[/tex] =7

[tex]\frac{105d}{2700}[/tex] = 7

105d = 7 * 2700

105d = 18,900

d = 18900/105

d = 180

delivering 180/45 = 4 hours

return trip 180/60 = 3 hours