SOLUTION: TWO PERSONS 27 KM APART STARTING AT THE SAME TIME ARE TOGETHER IN 9 HOURS IF THEY WALK IN SAME DIRECTION BUT 3 HOURS IF THEY WALK IN OPPOSITE DIRECTION. FIND OUT SPEED OF EACH MA
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Question 1005422: TWO PERSONS 27 KM APART STARTING AT THE SAME TIME ARE TOGETHER IN 9 HOURS IF THEY WALK IN SAME DIRECTION BUT 3 HOURS IF THEY WALK IN OPPOSITE DIRECTION. FIND OUT SPEED OF EACH MAN. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! TWO PERSONS 27 KM APART STARTING AT THE SAME TIME ARE TOGETHER IN 9 HOURS IF THEY WALK IN SAME DIRECTION
BUT 3 HOURS IF THEY WALK IN OPPOSITE DIRECTION. FIND OUT SPEED OF EACH MAN.
:
let a = speed of the faster man
let b - speed of the slower
:
When they walk toward each other their relative speeds are added
(a + b)
When they walk the same direction their relative speeds are subtracted
(a - b)
:
Write a distance equation for each way. time * speed = dist
9(a - b) = 27
3(a + b) = 27
Simplify; divide the first equation by 9, the 2nd equation by 3, you have;
a - b = 3
a + b = 9
------------Adding eliminates b, find a
2a = 12
a = 6 km/hr for the fast guy
:
find b using a + b = 9
6 + b = 9
b = 9 - 6
b = 3 km/hr speed of the slow guy
:
:
Check this in the 1st original equation
9(6 - 3) = 27
