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# While covering a distance or 24 km, a man noticed that after walking f

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Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1034
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
While covering a distance or 24 km, a man noticed that after walking f  [#permalink]

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27 Oct 2018, 09:26
1
00:00

Difficulty:

35% (medium)

Question Stats:

81% (00:52) correct 19% (01:50) wrong based on 26 sessions

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While covering a distance or 24 km, a man noticed that after walking for 1 hour and 40 minutes, the distance covered by him was $$5/7$$ of the remaining distance. What was his speed in m/s?
A) 1.12
B) 1.21
C) 1.33
D) 1.55
E) 1.66

Weekly Quant Quiz #6 Question No 8

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Intern
Joined: 15 Jul 2018
Posts: 9
Re: While covering a distance or 24 km, a man noticed that after walking f  [#permalink]

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27 Oct 2018, 09:46
Ans is E

After 1 hour 40 minutes, the distance D covered is D=5/7*(24-D)
on solving, D = 10km
therefore his speed was distance/time = (10*1000)/(100*60)= 1.66m/s
Intern
Joined: 09 May 2017
Posts: 4
Re: While covering a distance or 24 km, a man noticed that after walking f  [#permalink]

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27 Oct 2018, 10:01
Let us take the distance traveled till now as d
So, d= 5/7 * (24-d)
which gives d=10 km = 10000 m

1hr40min = 100*60 seconds

s=d/t = 10000/100*60 = 1.66

Ans: E
Intern
Joined: 18 Jul 2017
Posts: 2
Re: While covering a distance or 24 km, a man noticed that after walking f  [#permalink]

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27 Oct 2018, 11:02
He covered x and has y to go. We know

x+y= 24 and x=5/7y

so he covered x=10km=10000m in 100min=6000sec

Therefore speed = 10000/6000 = 10/6 = 1,66

Manager
Joined: 14 Jun 2018
Posts: 188
Re: While covering a distance or 24 km, a man noticed that after walking f  [#permalink]

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27 Oct 2018, 12:44
Let the distance he covered be x. Remaining distance = 24-x
x = 5(24-x)/7
7x = 120 - 5x
x = 10
Time taken to cover 10km = 1hr40 mins = 5/3hr
Speed in km/hr = 10*3/5 = 6
Speed in m/s = 6*5/18 = 5/3 = 1.66
Intern
Joined: 08 Jul 2018
Posts: 1
Re: While covering a distance or 24 km, a man noticed that after walking f  [#permalink]

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27 Oct 2018, 18:58
total D =24 => 24 = 5/7x+x
(24 = 5/7x+x) * 7
5x+7x=168
x=14
Therefore he covered 5/7 * 14 = 10 miles in 1hr and 40 min
Speed over this period can be expressed as
10km = 10,000 m
1hr40min= 100 min = 6000 sec
Speed = 10000/6000= 1.66 m/s
Re: While covering a distance or 24 km, a man noticed that after walking f &nbs [#permalink] 27 Oct 2018, 18:58
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