A particle covers first half of the
journey time with a constant speed
30 kmph. In the remaining half of
the time, first half of the distantce
with a constant speed 30 kmph and
the remaining half of the distance
with a constant speed 70 kmph. Its
average speed in the entire journey
is
(1) 18 kmph (2) 36 kmph
(3) 48 kmph (4) 65 kmph
Answers
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Answer:
Correct option is
C
v
1
+v
2
2v
1
v
2
If The half distance (x) covered with the speed v
1
in t
1
time.
Using formula of speed, v
1
=
t
1
x
so, t
1
=
v
1
x
And another half distance (x), covered with speed v
2
in time t
2
.
so, v
2
=xt
2
t
2
=
v
2
x
Average Velocity=
Total time
Total distance
Total time=t
1
+t
2
=
v
1
x
+
v
2
x
=
v
1
v
2
(v
2
∗x+v
1
∗x)
Total distance =x+x=2x
On putting the values of total distance and total time in the formula of average speed, we get
Average speed=
(
v
1
∗v
2
v
2
x+v
1
x
)
2x
V=
(v
1
+v
2
)
2v
1
v
2
Explanation:
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