SOLUTION: Jack can paint a room in 6 ½ hours and Jill can paint a room in 4 ¾ hours. Jack and Jill can paint the room in A hours and B minutes if they work together. What is the value of B

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jack can paint a room in 6 ½ hours and Jill can paint a room in 4 ¾ hours. Jack and Jill can paint the room in A hours and B minutes if they work together. What is the value of B      Log On


   

Question 534969: Jack can paint a room in 6 ½ hours and Jill can paint a room in 4 ¾ hours. Jack and Jill can paint the room in A hours and B minutes if they work together. What is the value of B rounded to the nearest whole number? Please show all your work. Thanks in advance.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Jack's rate of painting is ( 1 room ) / ( 6.5 hrs )
Jill's rate of painting is ( 1 room ) / ( 4.75 ) hrs )
Let +t+ = time to paint 1 room with both painting
+1%2F6.5+%2B+1%2F4.75++=+1%2Ft+
Multiply both sides by +6.5%2A4.75%2At+
+4.75t+%2B+6.5t+=+6.5%2A4.75+
+11.25t+=+30.875+
+t+=+2.7444+ hrs
To find minutes,
.7444... hrs x 60 min/hr = 44.6666...
B = 45 minutes rounded to nearest whole number