# Thread: Need help with a couple of math questions to make sure I answered correctly

1. ## Need help with a couple of math questions to make sure I answered correctly

Ques 1:
A box of nuts cost 44 cents per pound. There are 2,600 pieces in a 100 pound box. How much does it cost for 1,960 nuts?

I divided 100 into 2,600 which gave me 26 pieces per #
Then I divided 26 into 1,960 which is 75.38# for 1,960
Then I took .44 X 75.38 and got $33.1672, rounded off to$33.17

Ques 2:
An Airplane goes 500 miles in 1 minute. How long does it take to get to 33,000 feet?

The answer I came up with this is 6.6 minutes

Did I figure these out correctly? Your help with this would be greatly appreciated.

dcbn

2. For question 1, your work is correct.

For question 2, some information is missing, what is the angle of elevation?

3. Originally Posted by dcbn
Ques 2:
An Airplane goes 500 miles in 1 minute. How long does it take to get to 33,000 feet?

The answer I came up with this is 6.6 minutes
Perhaps, you mean 500 feet in 1 minute, not miles. Thus,
$\displaystyle \frac{500}{1}=\frac{33000}{x}$
Thus,
$\displaystyle x=6.6 \mbox{ minutes}$

4. Originally Posted by ThePerfectHacker
Perhaps, you mean 500 feet in 1 minute, not miles. Thus,
$\displaystyle \frac{500}{1}=\frac{33000}{x}$
Thus,
$\displaystyle x=6.6 \mbox{ minutes}$
1. typical speed speeds of airliners are ~500 miles per hour, this speed is
60 times that, which is faster than the speed needed for orbit (so is probably
greater than a shuttle reentry speed).

2. Lets assume that the climb rate is 500 ft/min. Then the time to 33000ft
is:

$\displaystyle t=33000/500=66\mbox{ min}$.

Dimensionaly (with a slight abuse of dimensional analysis notation) this is:

$\displaystyle [ \mbox{min} ]=\frac{ [ \mbox{ft} ]}{[ \mbox{ft} ][\mbox{min}]^{-1}} =$$\displaystyle \frac{ [ \mbox{ft} ] [ \mbox{min} ]}{[ \mbox{ft} ]}$

RonL