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Home / Doubts and Solutions/ICSE/Class 11 Science/Physics

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Asked by vibsjoy 11th August 2019, 9:26 PM
Answered by Expert
Answer:
Lets say buses leaving from A and B has speed x km/h  
The distance between two consecutive bus leaving from town A will be 
S p e e d space equals fraction numerator D i s tan c e over denominator T i m e end fraction D i s tan c e equals x cross times T S i m i l a r l y space a n y space b u s space l e a v i n g space t o w n space B space h a s space t h e space s a m e space d i s tan c e space space x cross times T space b e t w e e n space t h e m N o w space t h e space s p e e d space o f space t h e space c y c l i s t space i s space 15 k m divided by h A s space t h e space b u s space l e a v i n g space f r o m space t o w n space B space a n d space c y c l i s t space a r e space m o v i n g space i n space o p p o s i t e space d i r e c t i o n space s o space t h e space r e l a t i v e space s p e e d space w o u l d space b e open parentheses space x plus 15 close parentheses k m divided by h a n d space b u s space c r o s s e s space i n space e v e r y space 5 m i n space t h a t space m e a n space t h e space d i s tan c e space b e t w e e n space c y c l i s t space a n d space b u s space c o m i n g space f r o m space t o w n space B space w o u l d space b e space c o v e r e d space i n space 5 m i n space T i m e space t o space r e a c h space c y c l i s t space equals fraction numerator x cross times T over denominator x plus 15 end fraction equals 5 over 60 minus negative negative negative negative negative negative negative negative negative left parenthesis 5 m i n equals 5 over 60 h r right parenthesis A s space t h e space b u s space l e a v i n g space f r o m space t o w n space A space a n d space c y c l i s t space a r e space m o v i n g space i n space s a m e space d i r e c t i o n space s o space t h e space r e l a t i v e space s p e e d space w o u l d space b e open parentheses space x minus 15 close parentheses k m divided by h space a n d space space b u s space c r o s s e s space i n space e v e r y space 10 space m i n space t h a t space m e a n space t h e space d i s tan c e space b e t w e e n space c y c l i s t space a n d space b u s space c o m i n g space f r o m space t o w n space A space w o u l d space b e space c o v e r e d space i n space 10 space m i n T i m e space t o space r e a c h space c y c l i s t space equals fraction numerator x cross times T over denominator x minus 15 end fraction equals 10 over 60 minus negative negative negative negative negative negative negative negative negative left parenthesis 10 m i n equals 10 over 60 h r right parenthesis S o l v i n g space t h e space a b o v e space t w o space e q u a t i o n space w e space g e t space x equals 45 k m divided by h space a n d space T equals space 6 m i n space 40 space s e c o n d s
Answered by Expert 13th August 2019, 11:48 AM
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