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CDS Model Paper 2 Mathematics
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© examsnet.com
Question : 16
Total: 100
A car driver travels from the plains to a hill station, which are
200
km
apart at an average speed of
40
km
∕
h
. In the return trip he covers the same distance at an average speed of
20
km
∕
h
. The average speed of the car over the entire distance of
400
km
is :
16.56
km
∕
h
17.89
km
∕
h
26.67
km
∕
h
35
km
∕
h
Validate
Solution:
Average speed
=
Total
distance
covered
Total
time
taken
=
2
×
200
200
40
+
200
20
=
2
×
40
×
20
40
+
20
=
2
×
40
×
20
60
=
80
3
=
26.67
km
∕
h
.
Alternatively :
If the same distances are being covered with different speeds, the average speed during whole journey =
2
x
y
x
+
y
, where
x
and
y
are the different speeds.
© examsnet.com
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