Math  /  Numbers & Operations

QuestionLatrell is scuba diving off the coast of Australia. When he is ready to come back to the surface, he rises 12 meters at a safe speed. He climbs 15 centimeters every second. How many seconds will it take him to reach the surface?

Studdy Solution

STEP 1

What is this asking? How long does it take Latrell to swim 12 meters if he swims 15 centimeters every second? Watch out! The problem uses different units: meters and centimeters!
We need to make sure to convert them to the same unit before doing any calculations.

STEP 2

1. Convert units
2. Calculate the time

STEP 3

Alright, let's **convert** those pesky meters to centimeters!
We know that 1 meter is equal to 100 centimeters.
So, we're going to **multiply** our **12 meters** by **100 centimeters/meter** to get the distance in centimeters.
Why multiply?
Because we want meters to *divide to one* and be left with centimeters!

STEP 4

12 meters100 centimeters1 meter=1200 centimeters12 \text{ meters} \cdot \frac{100 \text{ centimeters}}{1 \text{ meter}} = 1200 \text{ centimeters}

STEP 5

Boom! Latrell needs to swim **1200 centimeters**.

STEP 6

Latrell swims **15 centimeters** every **second**.
We want to know how many seconds it takes him to swim **1200 centimeters**.
To figure this out, we're going to **divide** the **total distance** by the **distance per second**.
Why divide?
Because we want centimeters to *divide to one* and be left with seconds!

STEP 7

1200 centimeters15centimeterssecond=120015 seconds\frac{1200 \text{ centimeters}}{15 \frac{\text{centimeters}}{\text{second}}} = \frac{1200}{15} \text{ seconds}

STEP 8

Let's do that division! 120015=1200÷315÷3=4005=400÷55÷5=801=80\frac{1200}{15} = \frac{1200 \div 3}{15 \div 3} = \frac{400}{5} = \frac{400 \div 5}{5 \div 5} = \frac{80}{1} = 80

STEP 9

So, it takes Latrell **80 seconds** to reach the surface.

STEP 10

It will take Latrell **80 seconds** to reach the surface.

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