SOLUTION: a 200 km trip was made by canoeing at 5km/h and cycling at 30 km/h. if the total time of the trip was 15 hours, find the distance traveled by each
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Question 997142: a 200 km trip was made by canoeing at 5km/h and cycling at 30 km/h. if the total time of the trip was 15 hours, find the distance traveled by each Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39614) (Show Source):
speed time distance
CANOE r x rx
CYCLE R y Ry
Total t d
KNOWN variables
UNKNOWN variables
FORMULATE THE EQUATIONS
---these are the obvious time sum and distance sum.
This system, purely in symbols is
and the unknown variables are x and y.
The only other help you would need is if you do not know how to solve a system of two linear equations in two variables, but you must be past that by now.
You can put this solution on YOUR website!
a 200 km trip was made by canoeing at 5km/h and cycling at 30 km/h. if the total time of the trip was 15 hours, find the distance traveled by each
Let distance canoeing be D
Then distance cycling = 200 – D
Time spent canoeing: , and time spent cycling was:
With total time being 15 hours, we get:
6D + 200 – D = 450 --------- Multiplying by LCD, 30
6D – D = 450 – 200
5D = 250
D, or distance canoeing = , or km
Distance cycling: 200 – 50, or km
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