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?

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re: Disclaimer

| Comment 5 of 7 |

(In reply to Disclaimer by Ady TZIDON)

Ady:

Your initial comments are well-received and appropriate I think. Thanks.

Just for the record, though, the problem explicitly specifies p <= 100 (by using the word "inclusive"). I agree that p = 100 is not consistent with the word "only", but the word "only" arguably applies only to the first problem (same as the number 30%).

Steve

Posted by Steve Herman on 2013-12-06 17:33:12

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