Question

Sakura speaks 150150150 words per minute on average in hungarian, and 190190190 words per minute on average in polish. she once gave cooking instructions in hungarian, followed by cleaning instructions in polish. sakura spent 555 minutes total giving both instructions, and spoke 270270270 more words in polish than in hungarian. how long did sakura speak in hungarian, and how long did she speak in polish? sakura spoke for minutes in hungarian and for minutes in polish.

Answer 1

We have:
 in hungarian:
 h = 150 words / min
 in polish:
 190 words / min
 Let:
 x: number of words in Hungarian.
 y: number of words in Polish.
 We have the following system of equations:
 (1/150) * (x) + (1/190) * (y) = 5
 y = x + 270 
 The solution is:
 x = 300 words
 y = 570 words
 Therefore the time speaking in each language is:
 in hungarian:
 (1/150) * (300) = 2 min
 in polish:
 (1/190) * (570) = 3 min
 Answer:
 in hungarian: 2 min
 in polish: 3 min