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Phil can paint the garage in 12 hours, and Rick can do it in10 hours. They work

ID: 3089147 • Letter: P

Question

Phil can paint the garage in 12 hours, and Rick can do it in10 hours. They work together for 3 hours. How long willit take Rick to finish the job alone? solve, show each step,complete chart.                          Work rate x time = work done Phil                          ?        3              ? Rick                        ?       x +3           ? Phil can paint the garage in 12 hours, and Rick can do it in10 hours. They work together for 3 hours. How long willit take Rick to finish the job alone? solve, show each step,complete chart.                          Work rate x time = work done Phil                          ?        3              ? Rick                        ?       x +3           ?

Explanation / Answer

Phil can paint the garage in 12 hours, and Rick can do it in10 hours. They work together for 3 hours. How long willit take Rick to finish the job alone? solve, show each step,complete chart.                          Work rate x time = work done Phil                         1/12        3              3/12 Rick                        1/10      x +3           1/10 (x+3)

Phil does 1/12 per hour
Rich does 1/10 per hour
together they do 1/12 + 1/10
so in 3 hours they do 3(1/12 +1/10)
common denominator = 60
=3(5/60 +6/60)