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

Question

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

TestTaker9 · Answer

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

richa2909 · Answer

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

Tasaros · Answer

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

Correct answer is E

pandeyashwin · Answer

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

bekazedelashvili · Answer

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

jfranciscocuencag · Answer

Good night!

I haven't been able to solve this but after one hour I need to ask you guys:

Where does the following come from?
 
D=5/7*(24-D)

Kind regards!

shrinathshinde · Answer

I am absolutely confused by the wording used in problem. 
If 24 km distance is covered in 1 hour 40 mins.. then should speed be not as below for m/s
 \frac{24*1000}{100*60}

please help me to understand the problem and solution

CrackverbalGMAT · Answer

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?

Let the distance covered by him be d km. So the remaining distance is 24 -d.

Its given that :

d = \frac{5}{7}*(24 -d)

7d = 120 - 5d
12 d = 120
d = 10 km

A distance of 10 km is covered in 1 hour and 40 mins ( 5/3 hours)
Speed = 10/5/3 = 6 km/hr = 6 * 5/18 m/s = 5/3 = 1.66 m/s ( Multiply by 5/18 to convert from km/hr to m/sec )

Option E is the answer.

Thanks,
 Clifin J Francis,
GMAT SME

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