Respuesta :
Answer:
0.395 kilometre
Step-by-step explanation:
Given:
On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole.
On his second stroke, the ball traveled 79 meters and went into the hole.
Question asked:
How many kilometres from the hole was Martin when he started?
Solution:
Let distance from Martin starting point to the hole in meters = [tex]x[/tex]
On Martin's first stroke, ball traveled = [tex]\frac{4}{5} \ of \ total \ distance\ to\ the\ hole[/tex]
[tex]=\frac{4}{5} \times x=\frac{4x}{5}[/tex]
On his second stroke, the ball traveled and went to the hole = 79 meters
Total distance from starting point to the hole = Ball traveled from first stroke + Ball traveled from second stroke
[tex]x=\frac{4x}{5} +79\\ \\ Subtracting\ both\ sides\ by \ \frac{4x}{5}\\ \\ x- \frac{4x}{5}= \frac{4x}{5}- \frac{4x}{5}+79\\ \\ \frac{5x-4x}{5} =79\\ \\ By \ cross\ multiplication\\ \\ x=79\times5\\ \\ x=395\ meters[/tex]
Now, convert it into kilometre:
1000 meter = 1 km
1 meter = [tex]\frac{1}{1000}[/tex]
395 meters = [tex]\frac{1}{1000}\times395=0.395\ kilometre[/tex]
Thus, there are 0.395 kilometre distance from Martin starting point to the hole.
