Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking instructions in Hungarian, followed by cleaning instructions in Polish. Sakura spent 5 minutes total giving both instructions, and spoke 270 more words in Polish than in Hungarian. How long did Sakura speak in Hungarian, and how long did she speak in Polish?
Answers
Solution :
Given that, Sakura gave instructions for 5 minutes. We consider, Sakura gave instructions in Hungarian for x minutes and in Polish for (5 - x) minutes.
- Sakura speaks 150 words per minute in Hungarian so in x minutes, total words to be spoken is 150x
- Sakura speaks 190 words per minute in Polish so in (5 - x) minutes, total words to be spoken in 190(5 - x)
By the given condition,
Words spoken in Polish = Words spoken in Hungarian + 270
⇒ 190 (5 - x) = 150x + 270
⇒ 950 - 190x = 150x + 270
⇒ 150x + 190x = 950 - 270
⇒ 340x = 680
⇒ x = 2
∴ Sakura spoke 2 minutes in Hungarian and (5 - 2) = 3 minutes in Polish.
ANswer -
Given,
She can speak 150 words per minute-hungarian...
She can speak 190nwords per minute-polish....
She spent 5 minutes in giving instructions....
plus spoke 270 more polish words...
LET INSTRUCTIONS GIVEN IN HUNGARIAN BE'X'MINUTES
AND INSTRUCTIONS IN POLISH BE'(5-X) MINUTES
∆150 WORDS = 150X
∆190 WORDS = 190(5-X)
ACCORDING TO THE QUESTION,
NO.OF.WORDS SPOKEN IN POLISH=NO.OF.WORDS SPOKE IN HUNGARIAN+270
= > 190(5-X)=150X+270
= > 950-190X = 150X +270
=> 150X+190X = 950-270
=> 340X = 680
=> X = 680/340
=> X= 2
instruction s given in hungarian = x = 2MINUTES
instructions given in polish = 5-x = 5-2=3 minutes.