Joshua estimates that an airbed is roughly in the shape of a rectangular solid - Junior Cycle Mathematics - Question 3 - 2022

The pump blows air at a rate of 800 cm³ per second. To determine how many seconds it will take to fill the airbed, we use the following equation:

$\text{Time (seconds)} = \frac{\text{Volume}}{\text{Rate}}$

Substituting in the values:

$\text{Time (seconds)} = \frac{288000}{800} = 360 \text{ seconds}$

To convert seconds to minutes, we divide by 60:

$\text{Time (minutes)} = \frac{360}{60} = 6 \text{ minutes}$

Therefore, it will take 6 minutes to fill the airbed with air.

Joshua finishes pumping at 9:35 p.m. He goes to bed 45 minutes later. To find the time he goes to bed, we add 45 minutes to 9:35 p.m.:

9:35 p.m. + 0:45 = 10:20 p.m.

Thus, Joshua goes to bed at 10:20 p.m.