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Time, Speed, Distance

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by sparkle6 » Sun Sep 25, 2011 6:42 am
Walking 5/6 of his usual speed, a man is 10 minutes too late. The usual time taken by the man to cover that distance is?

a. 8 mins and 20 seconds
b. 12 mins
c. 45 mins
d. 50 mins
e. 60 mins
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by amit2k9 » Sun Sep 25, 2011 6:51 am
less speed meaning more time.
thus, new time = 6/5 old time

thus 6/5 *t - t = 10

thus t = 50 mins
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by knight247 » Sun Sep 25, 2011 7:35 am
Original Speed=x
Original Time=T1
Distance=x*T1

New speed=5x/6
New time=T2
Distance=(5x/6)*T2

Distance traveled on both occasions is the same hence we can equate x*T1=(5x/6)*T2
So, we have 6T1/5=T2

Also, we have T2-T1=10
(6T1/5)-T1=10
T1=50 Hence D
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