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

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): You can put this solution on YOUR website!
Assign variables, as indicated in this data table.

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.
Answer by MathTherapy(10549) (Show Source): 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
RELATED QUESTIONS
john drove part of a 260 km trip at 80 km/h and the rest at 100 km/h. find the distance... (answered by checkley71)
John drove part of a 260 km trip at 80 km/h and the rest at 100 km/h. Find the distance... (answered by ankor@dixie-net.com)
An automobile travels 280 km at a certain speed. If the speed had been 5km/h faster, the... (answered by lwsshak3)
Jake cycled 20 km to the beach. He returned cycling 1 km/h faster. The total time for the (answered by ankor@dixie-net.com)
a person traveling 210 km by car drove the first part at 100 km/h and the rest at 80... (answered by ankor@dixie-net.com)
A person traveling 210 km by car drove the first part at 100 km/h and the rest at 80... (answered by richwmiller)
Please help me. A truck travels 450 km to a delivery point, unloads, and, now empty,... (answered by jorel555)
A tourist was planning a trip by car for travelling at some constant speed for 2.5 hours. (answered by josgarithmetic)
Fred took 7 h to drive from Cheyenne to Boothill, a total distance of 485. He drove most... (answered by Boreal,MathTherapy)