SOLUTION: Alex can eat a super-size box of cereal in 14 days. He and his brother Ryan can eat the same size box of cereal in 10 days. How many days would it take Ryan to finish a box of cere

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Question 1110970: Alex can eat a super-size box of cereal in 14 days. He and his brother Ryan can eat the same size box of cereal in 10 days. How many days would it take Ryan to finish a box of cereal alone?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Ryan's rate of eating:
[ 1 box ] / [ 14 days ]
His brother's rate:
[ 1 box ] / [ t days ]
Their rate eating together:
[ 1 box ] / [ 10 days ]
----------------------------
Add their separate rates to get their
rate eating together
+1%2F14+%2B+1%2Ft+=+1%2F10+
Multiply both sides by +70t+
+5t+%2B+70+=+7t+
+2t+=+70+
+t+=+35+
Ryan takes 35 days eating alone
---------------------------------
check:
+1%2F14+%2B+1%2F35+=+1%2F10+
+5%2F70+%2B+2%2F70+=+7%2F70+
+7%2F70+=+7%2F70+
OK