SOLUTION: 2 painters painted 60 rooms in 1 week. Painter A painted 4 times as fast as painter B. How many rooms painter A painted in 1 week?
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: 2 painters painted 60 rooms in 1 week. Painter A painted 4 times as fast as painter B. How many rooms painter A painted in 1 week?
Log On
Question 850421: 2 painters painted 60 rooms in 1 week. Painter A painted 4 times as fast as painter B. How many rooms painter A painted in 1 week? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! 4 times as fast means A can paint
4 times as many rooms/week as B
------------------------------
Let = number of rooms/wk
that B can paint
Add their rates of working to get
their rate working together
-------------------------------
( 60 rooms ) / ( 1 wk ) = their rate working together
( 4n rooms ) / ( 1 wk ) = A's rate of working
( n rooms ) / ( 1 wk ) = B's rate of working
--------------------------------------------
A can paint 48 rooms in 1 week
check:
OK
