A man cycling along the road noticed that every 10 minutes a bus overtakes him and every 4 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 answer:
A) 5 minutes
B) 6 minutes
C) 8 minutes
D) 9 minutes
E) 48/7 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 10 minutes a bus overtakes cyclist: \frac{d}{b-c}=10, d=10b-10c;   Every 4 minutes cyclist meets an oncoming bus: \frac{d}{b+c}=4, d=4b+4c;   d=10b-10c=4b+4c, --&gt; b=7c/3, --&gt; d=12b-12b*3/7=48/7b.   Interval=\frac{d}{b}=\frac{48/7b}{b}=48/7   Answer: 48/7 minutes (48/7 minutes).
<result>E</result>
A man cycling along the road noticed that every 10 minutes a bus overtakes him and every 4 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?