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

• Aug 7th 2006, 12:42 PM
dcbn
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
• Aug 7th 2006, 01:38 PM
Quick
For question 1, your work is correct.

For question 2, some information is missing, what is the angle of elevation?
• Aug 7th 2006, 01:41 PM
ThePerfectHacker
Quote:

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,
$\frac{500}{1}=\frac{33000}{x}$
Thus,
$x=6.6 \mbox{ minutes}$
• Aug 19th 2006, 11:49 PM
CaptainBlack
Quote:

Originally Posted by ThePerfectHacker
Perhaps, you mean 500 feet in 1 minute, not miles. Thus,
$\frac{500}{1}=\frac{33000}{x}$
Thus,
$x=6.6 \mbox{ minutes}$

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:

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

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

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

RonL