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 2 1/2 hrs. find the time taken by him to travel by foot and bicycle.
Answers
Answer:
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
Step-by-step explanation:
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