SOLUTION: a man covers a distance of 24 km in 3.5 hours partly on foot at speed of 4.5 km per hour and partly on bicycle at speed of 10 km per hour.Find the distance covered on foot.

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Question 876274: a man covers a distance of 24 km in 3.5 hours partly on foot at speed of 4.5 km per hour and partly on bicycle at speed of 10 km per hour.Find the distance covered on foot.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a man covers a distance of 24 km in 3.5 hours partly on foot at speed of 4.5 km per hour and partly on bicycle at speed of 10 km per hour.
Find the distance covered on foot.
:
Let w = his distance on foot
the total distance is given as 24 km, therefore
(24-w) = dist by bicycle
:
Write a time equation, time = dist/speed
:
Walk time + bike time = 3.5 hrs
w%2F4.5 + %2824-w%29%2F10 = 3.5
multiply by 90 to clear the denominators
20w + 9(24-w) = 90(3.5)
20w + 216 - 9w = 315
20w - 9w = 315 - 216
11w = 99
w = 99'/11
w = 9 mi on foot
:
:
Confirm this, find the actual time walking and riding (ride dist 24-9)
9/4.5 = 2 hrs
15/10 = 1.5 hrs
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total: 3.5 hrs