Question

Each of the space shuttle solid rocket motor burns 680,400 kilograms of propellent in 2.5 minutes. how much propellant doesveach motor burn in 30 seconds?

Answer 1

To find out how much propellant each space shuttle solid rocket motor burns in 30 seconds, you can set up a proportion based on the given information:

1. The motor burns 680,400 kilograms of propellant in 2.5 minutes.

2. You want to find out how much propellant it burns in 30 seconds.

Let's set up the proportion:

`\(\frac{\text{Amount burned in 30 seconds}}{\text{Time (30 seconds)}} = \frac{\text{Amount burned in 2.5 minutes}}{\text{Time (2.5 minutes)}}\)`

First, convert 2.5 minutes to seconds (since there are 60 seconds in a minute):

2.5 minutes = 2.5 * 60 seconds = 150 seconds

Now, plug in the values:

`\(\frac{\text{Amount burned in 30 seconds}}{30} = (680,400)/(150)\)`

Now, solve for the amount burned in 30 seconds:

`\(\text{Amount burned in 30 seconds} = (680,400)/(150) * 30\)\\\(\text{Amount burned in 30 seconds} = 4,081,600\) kilograms`

So, each space shuttle solid rocket motor burns 4,081,600 kilograms of propellant in 30 seconds.