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# 2 men A and B start at point X and walk to point Y a

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Director
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2 men A and B start at point X and walk to point Y a [#permalink]  04 Jan 2005, 17:17
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2 men A and B start at point X and walk to point Y a distance of 22 km at speeds of 5km / hr and 6 km / hr respectively.

B Reaches Y and immidiately turns around and meets A at point Z .

Find the dinstance from X to Z
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Joined: 29 Jul 2004
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They both meet at point Z and travel the same amount of time. Since you already know the individual rates and the total distance you can set up an equation. Time=D/R

Ta= time for person A

Tb=time for person B

z= distance A travels

22+(22-z)= distance B travels

Thefore:

Z/5=(22+(22-z))/6

solve for z and get z=20
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Re: PS : Speed Problem [#permalink]  04 Jan 2005, 21:55
rxs0005 wrote:
2 men A and B start at point X and walk to point Y a distance of 22 km at speeds of 5km / hr and 6 km / hr respectively.

B Reaches Y and immidiately turns around and meets A at point Z .

Find the dinstance from X to Z

distance from x to y= xy = 22 km
distance from x to z = xz = 22km-yz

time taken by A =time Taken by B
(distance coverd by A)/A's rate of speed=(distance coverd by B)/B's rate of speed

(xy-yz)/5kmh=(xy+yz)/6kmh

(22-yz)/5kmh=(22+yz)/6kmh
yz=2km

therefore xz or point z = 22km-yz=22km-2km = 20 km
Re: PS : Speed Problem   [#permalink] 04 Jan 2005, 21:55
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