SOLUTION: A triple jump consists of hop, step and jump. The length of Keith's step was three-quarters of the length of his hop and the length of his jump was half the length of his step. if

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Question 1169277: A triple jump consists of hop, step and jump. The length of Keith's step was three-quarters of the length of his hop and the length of his jump was half the length of his step. if the total length of Keith's triple jump was 17 meters , what was the length of his hop , in meters?
please solve this question
Regards

Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A triple jump consists of hop, step and jump.
The length of Keith's step was three-quarters of the length of his hop
s = .75h
arrange h in terms of s
.75h = s
h = s/.75
h = 1.3333s
and the length of his jump was half the length of his step.
j = .5s
if the total length of Keith's triple jump was 17 meters,
h + s + j = 17
replace h and j
1.3333s + s + .5s = 17
2.83s = 17
s = 17/2.8333
s = 6 meters is the step
:
what was the length of his hop, in meters?
h = 1.3333 * 6
h = 8 meters is the hop

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!
A triple jump consists of hop, step and jump. The length of Keith's step was three-quarters of the length of his hop and the length of his jump was half the length of his step. if the total length of Keith's triple jump was 17 meters , what was the length of his hop , in meters?
please solve this question
Regards
Let the length of the hop, be H
Then the length of the step = matrix%281%2C3%2C+%283%2F4%29H%2C+or%2C+.75H%29
Length of the jump = matrix%281%2C3%2C+%281%2F2%29H%2C+or%2C+.5H%29
As they total 17, we have: H + .75H + .375H = 17
2.125H = 17
Length of the hop, or
That's ALL!! Nothing MORE, nothing LESS!