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CAT 2017 Quantitative Ability
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Quantitative Aptitude
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© examsnet.com
Question : 3
Total: 34
Direction
Raghupati goes at a speed of 60 km/h. Raghav goes at a speed of 36 km/h. Raja Ram can go from Azamgarh to Barelley in 2 hours. The distance between Azamgarh to Barelley is equal to the distance between Azamgarh to Chandoli. Raghav takes the same time travelling from Barelley to Azamgarh as from Barelley to Chandoli at his regular speed which is twice the speed of Raja Ram.
If Raghupati and Raja Ram travel towards each other from Barelly and Chandoli respectively, how far from Barelley will they meet each other?
60
13
27
9
13
37
9
13
360
9
Validate
Solution:
Speed of Raghupati
(
R
p
)
= 60km/h
Speed of Raghav
(
R
v
)
= 36km/h
Speed of Raja Ram (RR) = 18km/h
Time taken to cover AB by (RR) is 2 hours
∴ Time taken to cover AB by Raghav is 1 hour
∴ Time taken to cover AB by Raghupati = 36min
(
t
R
P
:
t
R
v
:
t
R
R
=
1
S
R
P
:
1
S
R
V
:
1
S
R
R
)
t → Time, S → Speed
AB = 2 x 18= 36 km
Distance from Barelley =
60
(
60
+
18
)
×
36
=
360
13
=
27
9
13
k
m
© examsnet.com
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