Aptitude - A man had covered 2/3 of distance by cycling and remaining covered on feet. For this he took twice t

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A man had covered 2/3 of distance by cycling and remaining covered on feet. For this he took twice the time to the cycling. Find how much speed is greater for cycling than on feet.

Total Answers and Comments: 9

Last Update: December 26, 2008

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Submitted by: vids

let the total distance covered be x.

distance covered by cycling=2x/3

distance covered on feet=x-2x/3=x/3

time taken for cycling=t,for feet=2t,(here t represents the total time)

speed of cycling=2x/3/t=2x/3t

speed when on foot=x/3/2t=x/6t

therefore, 2x/3t*y=x/6t

i.e. y=1/4

therefore the speed by foot is 1/4 times less than that by cycling.

thus the speed of cycling is 4times more than that on foot.

Above answer was rated as good by the following members:
jayagopal, sachin007mm

June 26, 2005 07:26:10

nitin

RE: A man had covered 2/3 of distance by cycling and remaining covered on feet. For this he took twice t...

suppose the distance is a meter..and the speed of cycle is v and on feet u
then
2 x (2/3a)/v (1/3a)/u
v 4u
four times..........

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July 01, 2005 07:08:56

saritha

RE: A man had covered 2/3 of distance by cycling and remaining covered on feet. For this he took twice t...

Suppose distance is d
cycling speed is v and foot speed is u

then
2*(2/3d)/v (1/3d)/u
> v 4u
So 4 times greater

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July 18, 2005 06:58:26

Mohammad Asadullah

RE: A man had covered 2/3 of distance by cycling and remaining covered on feet. For this he took twice t...

Let d distance
x speed for cycling
y speed for walking

Equation becomes:

> 2*(2d/3)/y (1d/3)/z
> y/z 4

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June 27, 2006 05:58:47

vids

RE: A man had covered 2/3 of distance by...

let the total distance covered be x.

distance covered by cycling 2x/3

distance covered on feet x-2x/3 x/3

time taken for cycling t for feet 2t (here t represents the total time)

speed of cycling 2x/3/t 2x/3t

speed when on foot x/3/2t x/6t

therefore 2x/3t*y x/6t

i.e. y 1/4

therefore the speed by foot is 1/4 times less than that by cycling.

thus the speed of cycling is 4times more than that on foot.

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September 20, 2006 13:35:45

Hassan

RE: A man had covered 2/3 of distance by...

Its very simple to solve if we understand the situation. The man covers twice the distance on cycle as he walks in half the time he took to walk. Very obvious that it is 4 times.

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June 25, 2008 22:37:06

sravan_reddy001

Member Since: November 2005 Contribution: 8

RE: A man had covered 2/3 of distance by cycling and remaining covered on feet. For this he took twice the time to the cycling. Find how much speed is greater for cycling than on feet.

let 2x be distance covered in cycling then x is covered on foot
walking x took twice the time as cycling 2x (i e)
there fore speed on cycling is 4 times that of feet.
but this is not the answer(not how many times its how many times greater
therefor 4x-x 3x > its 3times greater..

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July 22, 2008 05:25:39

keerthivasan

Member Since: July 2008 Contribution: 2

RE: A man had covered 2/3 of distance by cycling and remaining covered on feet. For this he took twice the time to the cycling. Find how much speed is greater for cycling than on feet.

2/3 2x/3x. So assume any value for x such as x 5.10/15 is covered by cycling in 'a'time.To cover the rest (i.e) 5 he take twice.So cycling speed is 4 times greater than feet.

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August 02, 2008 12:54:07

cpgupta

Member Since: August 2008 Contribution: 2

RE: A man had covered 2/3 of distance by cycling and remaining covered on feet. For this he took twice the time to the cycling. Find how much speed is greater for cycling than on feet.

speed of cycle is 4 times than speed during walk

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December 26, 2008 10:15:09

deepak643

Member Since: December 2008 Contribution: 2

RE: A man had covered 2/3 of distance by cycling and remaining covered on feet. For this he took twice the time to the cycling. Find how much speed is greater for cycling than on feet.

since a man travels 2/3 distance by cycle and 1/3 distance on foot ......
he takes twice the time to travel on foot for the half the distance that he travelled on a cycle so it wil be 4 times the time taken by him for travelling 1/3 distance

so ans zzz 1/4

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