A man cycling along the road noticed that every 6 minutes a bus overtakes him and every 2 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses? Choose the correct option:	A) 3 minutes	B) 6 minutes	C) 8 minutes	D) 9 minutes	E) 10 minutes
Let's say the distance between the buses is d. We want to determine Interval=\frac{d}{b}, where b is the speed of bus.   Let the speed of cyclist be c.   Every 6 minutes a bus overtakes cyclist: \frac{d}{b-c}=6, d=6b-6c;   Every 2 minutes cyclist meets an oncoming bus: \frac{d}{b+c}=2, d=2b+2c;   d=6b-6c=2b+2c, --&gt; b=2c, --&gt; d=6b-3b=3b.   Interval6 -3= 
<gadget id="calculator">6 -3</gadget>
<output>3</output>
3b.   Interval=\frac{d}{b}=\frac{3b}{b}=3   3 minutesnswer: 3 minutes (3 minutes).
<result>A</result>
A man cycling along the road noticed that every 6 minutes a bus overtakes him and every 2 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?