A traveler walks a certain distance. Had he gone half a kilometer an hour faster, he would have walked it in 4/5 of the time, and had he gone half a Kilometer an hour slower, he would have walked 2 ½ hr longer. What is the distance? a) 10 Km b) 15 Km c) 20 Km d) Data Insufficient

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Questions by nurankl84   answers by nurankl84

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ksrsbabu1

  • Jul 22nd, 2006
 

since the distance travelled is same

st=(s+0.5)(4/5)t

on solvin u will get s=2

there is one more equation

st=(s-0.5)(t+5/2)

substitute s=2 in the above eq and find 't' u will get s=2,t=7.5 therefore d=st=15km

ans:15km

santosh vr

  • Sep 29th, 2007
 

Let speed=s
time=t
speed1=s+0.5
time1=(4/5)t
dist=(s+0.5)t *(0.8)
speed2=s-0.5
time2=t+2.5
dist=(s-0.5)(t+2.5)

st+2.5s-0.5t-1.25=st

2.5s-0.5t=1.25---------(1)

0.8st +0.4t=st
=>0.2st=o.4t
=>s=2---------(2)
sub s=2
=>t=4.75/0.5=9.5
dist=st=19

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