Question

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.

Answer 1

Answer:

A) The time required to paint the entire room is 50 minutes  .

B) The time required to paint the 64 % of entire room is 32 minutes .

Step-by-step explanation:

Given as :

After 18 minutes, 64% of the room still needs painted.

So. In 18 minutes , (100 % - 64 % = 36 %) of room painted

Let time required to paint entire room = T minutes

Now, According to question

A ) Applying unitary method

∵ 36 % of the entire room is painted in total time of 18 minutes

So, 1 % of the entire room is painted in total time of $\dfrac{18}{36}$ min

∴ 100% of the room is painted in $\dfrac{18}{36}$ × 100 minutes

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

Or, T = 50 min

So, The time required to paint entire room = T = 50 minutes

Hence, The time required to paint the entire room is 50 minutes  . Answer

B ) Again

Time required to paint 64 % of entire room = x minutes

∵ 36 % of the entire room is painted in total time of 18 minutes

So, 1 % of the entire room is painted in total time of $\dfrac{18}{36}$ min

∴ 64% of the room is painted in $\dfrac{18}{36}$ × 64 minutes

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

Or, x = 32 min

So, The time required to paint entire room = x = 32 minutes

Hence, The time required to paint the 64 % of entire room is 32 minutes . Answer