SOLUTION: Ramaswamy walked to the town at a speed of 4 km/hr and came back by bicycle at a speed of 12 km/hr.The total time for to and fro journey was 5/2 hrs.Find the times taken by him to

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Question 615712: Ramaswamy walked to the town at a speed of 4 km/hr and came back by bicycle at a speed of 12 km/hr.The total time for to and fro journey was 5/2 hrs.Find the times taken by him to travel by foot and bicycle.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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amy walked to the town at a speed of 4 km/hr and came back by bicycle at a speed of 12 km/hr.
The total time for to and fro journey was 5/2 hrs.
Find the times taken by him to travel by foot and bicycle.
:
Let t = time at 12 km/h
then
(2.5-t) = time at 4 km/hr
:
Write a distance equation: dist = speed * time
:
ride dist = walk dist
12t = 4(2.5-t)
12t = 10 - 4t
12t + 4t = 10
16t = 10
t = 10/16
t = .625 hrs to return on the bike
then
2.5 - .625 = 1.875 hrs to walk it
:
:
Confirm this by finding the distances
.625(12) = 7.5 km
1.875(4) = 7.5 km