Two motorcycles, M and N, start from points 480 km apart. They travel at constant speeds. If they move towards each other, they meet in 5 hours. If they move in the same direction, they meet in 15 hours. What is the speed of motorcycle M? (Assume M is the faster motorcycle)

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1. When they move towards each other, their speeds add. So $m+n=480/5=96$.  
2. When they move in the same direction, their speed difference is $480/15=32$. So $m-n=32$.  
3. Add the two equations: $2m=96+32=128$.  
4. So $m=128/2=64$ km/h.  
5. M is faster, so its speed is **64 km/h**.  
FINAL_ANSWER: b

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