You are painting a room. After 18 minutes, 64% of the room still needs painted. How long does it take to paint the entire room?

Question

Leto

1 month ago

15

You are painting a room. After 18 minutes, 64% of the room still needs painted. How long does it take to paint the entire room?

Write an equation that
represents the percent y of the room that still needs painted after x minutes.

Mathematics

1 answer:

lawyer [12.5K] · Answer 1 · 2026-04-11T06:57:32+03:00

Answer:

A) The total duration needed to paint the room is 50 minutes.

B) To paint 64% of the room takes 32 minutes.

Step-by-step explanation:

Given as:

After 18 minutes, 64% of the room still requires painting.

Therefore, within 18 minutes, (100% - 64% = 36%) of the room has been painted

Let T minutes be the total time required to paint the entire room.

Now, according to the question

A ) Using the unitary method

∵ In total, 36% of the room is covered in 18 minutes

Thus, in total time of $\dfrac{18}{36}$ minutes, 1% of the complete room is painted.Consequently, 100% of the room would be painted in $\dfrac{18}{36}$ × 100 minutes

i.e T = $\dfrac{18\times 100}{36}$

Thus, T = 50 min

Therefore, the duration needed to paint the entire room = T = 50 minutes

Thus, the time required to finish painting the entire room is 50 minutes. Answer

B) Again

Time taken to paint 64% of the room = x minutes

∵ 36% of the room has been painted in a total of 18 minutes

Thus, 1% of the entire room gets painted in $\dfrac{18}{36}$ minutes

Consequently, painting 64% of the room will take $\dfrac{18}{36}$ × 64 minutes

i.e x = $\dfrac{18\times 64}{36}$

Thus, x = 32 min

Therefore, the required time for painting 64% of the entire room = x = 32 minutes

Thus, the time required to paint 64% of the room amounts to 32 minutes. Answer