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25 Mar 2020, 03:02
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (02:11) correct
27%
(02:45)
wrong
based on 78
sessions
History
Date
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If Dan walks at 5 kmph from his home to the station, he misses his train by 10 minutes. If he walks at 7 kmph, he is 10 minutes early. What is the distance between the home and the station?
A. 2.9 km
B. 5.8 km
C. 6.2 km
D. 8.8 km
E. 11.6 km
A. 2.9 km
B. 5.8 km
C. 6.2 km
D. 8.8 km
E. 11.6 km
25 Mar 2020, 03:38
Kudos
Bookmarks
Bunuel
If Dan walks at 5 kmph from his home to the station, he misses his train by 10 minutes. If he walks at 7 kmph, he is 10 minutes early. What is the distance between the home and the station?
A. 2.9 km
B. 5.8 km
C. 6.2 km
D. 8.8 km
E. 11.6 km
A. 2.9 km
B. 5.8 km
C. 6.2 km
D. 8.8 km
E. 11.6 km
Solution:
- • Let D be the distance between Dan’s home and station
- o Time taken to reach the station at the speed of 5 kmph = \(\frac{D}{5} \)hr
o Time taken to reach the station at the speed of 7 kmph =\( \frac{D}{7}\) hr
- o \(\frac{D}{5} – \frac{D}{7} = \frac{1}{3}\)
o \(D*\frac{2}{35} = \frac{1}{3}\)
o \(D= \frac{35}{6} =5.8\) km
25 Mar 2020, 09:12
Kudos
Bookmarks
Bunuel
If Dan walks at 5 kmph from his home to the station, he misses his train by 10 minutes. If he walks at 7 kmph, he is 10 minutes early. What is the distance between the home and the station?
A. 2.9 km
B. 5.8 km
C. 6.2 km
D. 8.8 km
E. 11.6 km
A. 2.9 km
B. 5.8 km
C. 6.2 km
D. 8.8 km
E. 11.6 km
form given info
we know
5*(t+10/60) = 7*(t-10/60)
solve for t
we get t=1
so distance will be
5*(1+1/6 ) ; 5*7/6 ;
5.8 km
IMO B
