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© examsnet.com
Question : 8
Total: 40
One-third of a certain journey was covered at the rate of 25 km per hour, one-fourth at the rate of 30 km per hour and the rest at the 50 km per hour. What is the average speed per hour for whole journey? 206 QUANTITATIVE APTITUDE
33
1
3
kmph
44
1
4
kmph
22
1
2
kmph
33 kmph
Validate
Solution:
Let the total distance covered during journey = 60 km
1
3
of the distance covered during journey
=
60
×
1
3
= 20 km
1
4
of the distance covered during journey
=
1
4
×
60
= 15 km
∴ The distance covered during the rest of journey = 60 – (20 + 15) = 25 km
Time taken to cover 20 km at 25 km/h
=
20
25
hours
=
4
5
hour
Time taken to cover 15 km at 30 km/h
=
15
30
hours
=
1
2
hour
Time taken to cover 25 km at 50 km/h
=
25
50
hours
=
1
2
hour
Total time taken
=
4
5
+
1
2
+
1
2
=
9
5
hours
Hence average speed per hour
=
60
÷
9
5
=
60
×
5
9
=
100
3
km / h
=
33
1
3
km
© examsnet.com
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