Question

Jamie can paint a small room in 20 hours. Kendra can paint the same room in 60 hours. How long would it take for the two of them together to paint the room? Express your answer as a decimal. If necessary, round to the nearest tenth of hour.​

Answer 1

Jamie takes 20 hours to paint the room, while Kendra takes 60 hours. To find how long it would take for them to paint the room together, we need to calculate their combined painting rate. Their combined rate is 0.0667 rooms per hour, so it would take them 15 hours (rounded to the nearest tenth) to paint the room together.

Step-by-step explanation:

To determine how long it would take for Jamie and Kendra to paint the room together, we need to find their combined painting rate. Jamie takes 20 hours to paint the room, while Kendra takes 60 hours. Let's calculate their individual painting rates first:

Jamie's painting rate = 1 room / 20 hours = 0.05 rooms per hour

Kendra's painting rate = 1 room / 60 hours = 0.0167 rooms per hour

Now, to find their combined rate, we can add their individual rates:

Combined painting rate = Jamie's rate + Kendra's rate = 0.05 rooms per hour + 0.0167 rooms per hour = 0.0667 rooms per hour

Finally, to find how long it would take for them to paint the room together, we divide 1 room by their combined rate:

Time taken to paint the room together = 1 room / Combined rate = 1 room / 0.0667 rooms per hour = 15 hours (rounded to the nearest tenth)