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CDS Model Paper 4 Mathematics
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© examsnet.com
Question : 16
Total: 100
A train leaves station X at 5 a.m. and reaches station Y at 9 a.m. Another train leaves station Y at 7 a.m. and reaches station X at 10: 30 a.m. At what time do the two trains cross each other ?
7
:
36
am
7
:
56
am
8
:
36
am
8
:
56
am
Validate
Solution:
Let the distance between X and Y be
x
km
. Then, the
speed of A is
x
4
km
∕
h
and that of B is
2
x
7
km
∕
h
.
Relative speeds of the trains
=
(
x
4
+
2
x
7
)
=
15
x
28
km
∕
h
Therefore the distance between the trains at 7 a.m.
=
x
−
x
2
=
x
2
km
Hence, time taken to cross each other
=
x
2
15
x
28
h
r
=
x
2
×
28
15
x
h
r
=
14
15
×
60
min
=
56
min
Thus, both of them meet at
7.56
a.m.
© examsnet.com
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