Respuesta :
Answer:
A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours.Express the total distance traveled in terms of x.
Total distance covered by the man in terms of 'x' = (12.5x-285)miles
Step-by-step explanation:
Given:
Speed of a man = 'x' miles/hour
Time taken = [tex]3[/tex] hour
So, distance = product of speed and time.
Distance covered in term of 'x' [tex]=(d_1=3x)[/tex]
Now,
Speed = [tex](2x-60)[/tex] miles/hour
Time taken= [tex]4.75[/tex] hours
Distance [tex](d_2)[/tex] = [tex](2x-60)\times 4.75[/tex]
= [tex](2x\times 4.75) -(60\times 4.75)[/tex]
= [tex](9.5x - 285)[/tex] miles
Total distance covered by the man = Summation of [tex]d_1[/tex] and [tex]d_2[/tex]
= [tex](9.5x-285+3x)[/tex]
= [tex](12.5x-285)[/tex] miles
So the total distance covered by the man in terms of 'x' = (12.5x-285) miles.
