A and B are walking along a circular track.They start from same point at 8:00 am. A can walk 2 rounds per hour and B can walk 3 rounds per hour. How many times they cross each other before 9:30 am if they walk (i) Opposite to each other. (ii) In same direction. ?


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Question Number 27399 by Rasheed.Sindhi last updated on 06/Jan/18

$A and B are walking along a$ $circular track . They start from$ $same point at 8 : 00 am .$ $A can walk 2 rounds per hour$ $and B can walk 3 rounds per hour .$ $How many times they cross each$ $other before 9 : 30 am if they walk$ $(i) Opposite to each other .$ $(ii) In same direction .$ $?$
	Answered by mrW1 last updated on 06/Jan/18

	$v_{A} = 2 r o u n d s / h$ $v_{B} = 3 r o u n d s / h$ $(i)$ $2 + 3 = 5 r o u n d s / h$ $\Rightarrow 1 / 5 h (12 m i n u t e s) p e r r o u n d$ $i . e . t h e y c r o s s e a c h o t h e r e v e r y 12 m i n u t e s$ $f r o m 8 : 00 t i l 9 : 30 t h a t i s 90 m i n u t e s$ $90 / 12 = 7 . x$ $\Rightarrow t h e y a c r o s s e a c h o t h e r 7 t i m e s .$ $(i i)$ $3 - 2 = 1 r o u n d s / h$ $\Rightarrow 1 h (60 m i n u t e s) p e r r o u n d$ $90 / 60 = 1 . x$ $\Rightarrow t h e y a c r o s s e a c h o t h e r o n e t i m e .$
	Commented by Rasheed.Sindhi last updated on 06/Jan/18

	$Wonderful Sir!$
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