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UPSC CDS Speed, Time and Distance Questions
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© examsnet.com
Question : 1
Total: 53
It takes
11
h
for a
600
k
m
journey if
120
k
m
is done by train and the rest by car. It takes
40
m
i
n
more if
200
k
m
are covered by train and the rest by car. What is the ratio of speed of the car to that of the train?
[2019 CDS-II]
3
:
2
2
:
3
3
:
4
4
:
3
Validate
Solution:
(a) Let the speed of train be
x
k
m
∕
h
and car
y
k
m
∕
h
.
According to the question,
120
x
+
480
y
=
11
⋅
⋅
⋅
⋅
⋅
⋅
⋅
(
i
)
200
x
+
400
y
=
11
2
3
⋅
⋅
⋅
⋅
⋅
⋅
⋅
(
i
i
)
To multiply Eq. (i) by 5 and Eq. (ii) by 3 , and subtracting, we get
600
x
+
2400
y
−
600
x
−
1200
y
=
55
−
35
1200
y
=
20
⇒
y
=
60
k
m
∕
h
On putting
y
=
60
in Eq. (i), we get
120
x
+
480
60
=
11
⇒
120
x
=
11
−
8
x
=
40
k
m
∕
h
r
∴
Required ratio
=
y
x
=
60
40
=
3
2
=
3
:
2
© examsnet.com
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