a) a man runs a total distance in three parts in the ratio 4:3:1 with the constant speeds of 12m/sec, 9m/sec, and 10m/sec. What is the average speed of the man for the complete journey?
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Let total distance be x
First Part
Distance, d
1
=
3
2x
Time, t
1
=
v
1
d
1
=
3×30
2x
=
90
2x
Second Part
Distance, d
2
=
3
x
Time, t
2
=
v
2
d
2
=
3×40
x
=
120
x
Average Speed
v
av
=
Totaltime
Totaldistance
=
90
2x
+
120
x
x
=
45
1
+
120
1
1
=
360
8
+
360
3
1
=
11
360
=32.7km/h
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