Question

A man drove x miles per hour for 3e hours and (2x-60) miles per hour for the next 4.75 hours. Express the total distance he traveled in terms of x

Answer 1

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 = $3$ hour

So, distance = product of speed and time.

Distance covered in term of 'x' $=(d_1=3x)$

Now,

Speed = $(2x-60)$ miles/hour

Time taken= $4.75$ hours

Distance $(d_2)$  = $(2x-60)\times 4.75$

                      = $(2x\times 4.75) -(60\times 4.75)$

                      = $(9.5x - 285)$ miles

Total distance covered by the man = Summation of  $d_1$ and $d_2$

                                                           = $(9.5x-285+3x)$

                                                           = $(12.5x-285)$ miles

So the total distance covered by the man in terms of 'x' = (12.5x-285) miles.