A cyclist travels at a speed of 25 km/h over a certain distance and then returns over the same distance at a speed
of 15 km/h. What is his speed for the total Journey
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Class 11
>>Applied Mathematics
>>Numerical Applications
>>Time and distance
>>a man travels at a speed of...
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a man travels at a speed of 20 km/hr. and then returns at a speedof 30 km/hr. his average speed of whole journey is
A
25km/hr
B
24.5 km/hr
Your Answer
C
24 km/hr
Correct Answer
D
25.5 km/hr
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Solution
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Correct option is
C
24 km/hr
Given,
A man trads at a speed V
1
=20Km/h of distance x.
and Same distance x with v
2
=30 km/h
Let the time travel from speed
v
1
=
20
x
(speed = dist/time)
where x is the constant distance.
Total distance travelled =2x.
Now,
Avg. speed = Total distance travelled/ Total time taken
⇒
30
x
+
20
x
2x
=
5x
2x×60
=24 kmthr