Question

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. How many kilometers from the hole was Martin when he started?

Answer 1

0.395 kilometre

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 =
`x`

On Martin's first stroke, ball traveled =
`(4)/(5) \ of \ total \ distance\ to\ the\ hole`

`=(4)/(5) * x=(4x)/(5)`

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=(4x)/(5) +79\\ \\ Subtracting\ both\ sides\ by \ (4x)/(5)\\ \\ x- (4x)/(5)= (4x)/(5)- (4x)/(5)+79\\ \\ (5x-4x)/(5) =79\\ \\ By \ cross\ multiplication\\ \\ x=79*5\\ \\ x=395\ meters`

Now, convert it into kilometre:

1000 meter = 1 km

1 meter =
`(1)/(1000)`

395 meters =
`(1)/(1000)*395=0.395\ kilometre`

Thus, there are 0.395 kilometre distance from Martin starting point to the hole.