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CDS Model Paper 3 Mathematics
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© examsnet.com
Question : 18
Total: 100
A boat, while going downstream in a river covered a distance of 50 mile at an average speed of 60 miles per hour. While returning, because of the water resistance, it took one hour fifteen minutes to cover the same distance. What was the average speed of the boat during the whole journey?
40
mph
48
mph
50
mph
55
mph
Validate
Solution:
Time taken by the boat duning downstream
journey
=
50
60
=
5
6
h
Time taken by the boat in upstream journey
=
5
4
h
Average speed
=
2
×
50
5
6
+
5
4
=
100
×
24
50
=
48
mph
Time after which they meet
=
1080
(
60
+
x
)
hrs
As the time of meeting of all the three trains is the
same, we have
1080
(
60
+
x
)
=
6
or
x
=
120
km
∕
h
© examsnet.com
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