perplexus.info :: Weights and Scales : Feet-Inch Transpose

Feet-Inch Transpose (Posted on 2013-12-06)

(A) Ben called ahead by telephone and ordered a length of rope which is in integer feet and inches (that is, lengths like 3 feet and 5 inches NOT lengths like 3 feet and 5.5 inches. Also, lengths like 3 feet and 34 inches are untenable.)

When he picked it up, he found that the clerk had wrongly written the order by interchanging the feet and inches. As a result the rope was only 30% of the length he ordered.

What length did he originally order and what length did he get?

(B) If Ben had got p% of the length he ordered, then for what integer values of p from 1 to 100 inclusive are each of the length of the rope he ordered and the length of the rope he received in integer feet and inches?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(i) He asked for 9'2" and got 2'9", or only 30% of his order.

(ii) ordered ft inch pct 2 1 56 4 2 56 6 3 56 8 4 56 9 2 30 10 5 56
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): Disclaimer	Ady TZIDON	2013-12-07 01:52:29
re: Disclaimer	Charlie	2013-12-07 00:09:20
re: Disclaimer	Steve Herman	2013-12-06 17:33:12
Disclaimer	Ady TZIDON	2013-12-06 17:16:55
re: Extra credit? (spoiler)	Ady TZIDON	2013-12-06 17:12:12
computer solution	Charlie	2013-12-06 17:05:59
Extra credit? (spoiler)	Steve Herman	2013-12-06 15:32:05

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