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.
<u>Question asked:</u>
How many kilometres from the hole was Martin when he started?
<u>Solution:</u>
Let distance from Martin starting point to the hole in meters = ![x](https://tex.z-dn.net/?f=x)
On Martin's first stroke, ball traveled = ![\frac{4}{5} \ of \ total \ distance\ to\ the\ hole](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%20%5C%20of%20%5C%20total%20%5C%20distance%5C%20to%5C%20the%5C%20hole)
![=\frac{4}{5} \times x=\frac{4x}{5}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B4%7D%7B5%7D%20%5Ctimes%20x%3D%5Cfrac%7B4x%7D%7B5%7D)
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
![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](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4x%7D%7B5%7D%20%2B79%5C%5C%20%5C%5C%20Subtracting%5C%20both%5C%20sides%5C%20by%20%5C%20%5Cfrac%7B4x%7D%7B5%7D%5C%5C%20%5C%5C%20x-%20%5Cfrac%7B4x%7D%7B5%7D%3D%20%5Cfrac%7B4x%7D%7B5%7D-%20%5Cfrac%7B4x%7D%7B5%7D%2B79%5C%5C%20%5C%5C%20%5Cfrac%7B5x-4x%7D%7B5%7D%20%3D79%5C%5C%20%5C%5C%20By%20%5C%20cross%5C%20multiplication%5C%5C%20%5C%5C%20x%3D79%5Ctimes5%5C%5C%20%5C%5C%20x%3D395%5C%20meters)
Now, convert it into kilometre:
1000 meter = 1 km
1 meter = ![\frac{1}{1000}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B1000%7D)
395 meters = ![\frac{1}{1000}\times395=0.395\ kilometre](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B1000%7D%5Ctimes395%3D0.395%5C%20kilometre)
Thus, there are 0.395 kilometre distance from Martin starting point to the hole.