SOLUTION: Nick and James leaves home going in opposite directions. Nick is walking at 4mph and james is jogging at 6mph. after how long will they be 8 miles apart?

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Question 1020264: Nick and James leaves home going in opposite directions. Nick is walking at 4mph and james is jogging at 6mph. after how long will they be 8 miles apart?
Found 2 solutions by fractalier, josmiceli:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
They are separating at 4+6 = 10 miles per hour.
Time = distance / rate = 8 miles / 10 mph = .8 hours = 48 minutes

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of one of them as standing still.
Think of the other one moving at the sum
of their speeds.
Let +t+ = time in hrs for them to be 8 mi apart
+8+=+%28+4+%2B+6+%29%2At+
+8+=+10t+
+t+=+.8+
+.8%2A60+=+48+
They will be 8 mi apart in 48 min
----------------
check:
+d%5B1%5D+=+4t+
+d%5B1%5D+=+4%2A.8+
+d%5B1%5D+=+3.2+
and
+d%5B2%5D+=+6t+
+d%5B2%5D+=+6%2A.8+
+d%5B2%5D+=+4.8+
and
+d%5B1%5D+%2B+d%5B2%5D+=+3.2+%2B+4.8+
+d%5B1%5D+%2B+d%5B2%5D+=+8+ mi
OK