SOLUTION: David covers a distance of 15 km, partly bye foot at 6 km/h and partly by cycle at 18 km/h. If he takes 1 hour and 10 minutes to finish the journey, find how far he walks?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: David covers a distance of 15 km, partly bye foot at 6 km/h and partly by cycle at 18 km/h. If he takes 1 hour and 10 minutes to finish the journey, find how far he walks?      Log On

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Question 855535: David covers a distance of 15 km, partly bye foot at 6 km/h and partly by cycle at 18 km/h. If he takes 1 hour and 10 minutes to finish the journey, find how far he walks?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let w = distance walked
Let c = distance cycled
:
David covers a distance of 15 km,
w + c = 15
:
partly bye foot at 6 km/h and partly by cycle at 18 km/h.
If he takes 1 hour and 10 minutes to finish the journey
write a time equation; time = dist/speed
w%2F6 + c%2F18 = 11%2F6 hrs
w%2F6 + c%2F18 = 7%2F6 hrs
multiply by 18 to clear the denominators
3w + c = 3(7)
3w + c = 21
w + c = 15
------------subtract the 1st equation, eliminate c, find w
2w = 6
w = 3 km walked
:
:
You can confirm this solution, find the distance cycled and find the total time