There is
oval
track in a stadium,
which Person A can
cycle around in 56
seconds. Person B is
cycling in the
opposite direction
and meets person A
every 24 seconds.
What is the time
taken (in seconds) by
Person
B
te
complete the round?
Answers
Given : Person A can cycle around an oval track in a stadium in 56 seconds.
Person B is cycling in the opposite direction and meets person A every 24 seconds.
To Find : What is the time taken (in seconds) by person B to complete the round?
Solution:
Let say Distance = D m
Speed of A = D/56 m/s
Let say B take time = t sec
Speed of B = D / t m/s
Relative speed = D/56 + D/t m/s
Relative time = 24 sec
D/24 = D/56 + D/t
=> 1/24 = 1/56 + 1/t
=> 1/t = 1/24 - 1/56
=> 1/t = ( 7 - 3 ) / 168
=> 1/t = 4/168
=> t = 168/4
=> t = 42 sec
Hence the time taken (in seconds) by person B to complete the round = 42 sec
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