SOLUTION: if ram can paint a room alone in 15 hours . tigether ram and shyam can paint the same room in 6 hours.how much time would shyam aline take a paint the room?

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Question 1124783: if ram can paint a room alone in 15 hours . tigether ram and shyam can paint the same room in 6 hours.how much time would shyam aline take a paint the room?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Ram’s rate of painting:
[ 1 room ] / [ 15 hrs ]
Let Shyam’s rate =
[ 1 room ] / [ t hrs ]
Their rate working together:
[ 1 room ] / [ 6 hrs ]
—————————————-
Add their rates working alone
to get their rate working together
+1%2F15+%2B+1%2Ft+=+1%2F6+
Multiply both sides by +30t+
+2t+%2B+30+=+5t+
+3t+=+30+
+t+=+10+
Working alone, Shyam takes 10 hrs
————————-
Check:
+1%2F15+%2B+1%2F10+=+1%2F6+
+.06667+%2B+.1+=+.16667+
OK