Math, asked by bhaishasbabubhaisha, 1 month ago

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. What is the time taken (in seconds) by person B to complete the round?

Answers

Answered by Brainy197
0
22 seconds will be taken by the B person
Answered by amitnrw
0

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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