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 = hour
So, distance = product of speed and time.
Distance covered in term of 'x'
Now,
Speed = miles/hour
Time taken= hours
Distance =
=
= miles
Total distance covered by the man = Summation of and
=
= miles
So the total distance covered by the man in terms of 'x' = (12.5x-285) miles.
XY and YZ are the same length, so we can set their expressions to equal each other:
(x+5) = (3x - 3)
Add 3 to both sides:
x + 8 = 3x
Subtract x from both sides:
2x = 8
Divide both sides by 2 to get x by itself:
x = 4
XZ is equal to the lengths of lines XY and YZ. Plug the x value into their expressions:
(4 + 5) + (3(4) - 3)
9 + (12 - 3)
9 + 9 = 18
The measure of line XZ will be 18.
Distribute the 19 in the parenthesis and add like terms and you’ll have your answer
There are several information's already given in the question. Based on the information's provided, the answer can be easily deduced.
Distance covered by the hang glider = 303 miles
Time taken by the hang glider for covering the distance = 8 1/2 hour
= 17/2 hours
Then
Average rate of flight = Distance/ Time
= 303/(17/2) miles per hour
= (303 * 2)/17 miles/hour
= 606/17 miles/hour
= 35.65 miles/hour
I hope the procedure is clear enough for you to understand.<span />