Q:

Joseph had to type an article containing 10,000 words. How many minutes did it take him? (1) Joseph and Kelly together can type a 75,000-word article in an hour and a half. (2) Joseph types twice as fast as Kelly does.

Accepted Solution

A:
Answer:Joseph take 18 minute to type 10,000 wordsStep-by-step explanation:Given DataJ (Joseph) and K (Kelly) together type=75,000 words at 90 minutes Β  Β  Means J+K=75,000 at 90 minutesJoseph types twice of KellyMeans J=2xKTo find Joseph type =10000 words at time=?? minutesSolution J+K=75,000As we Known J=2xKSo2K+K=75,000K=75,000/3K=25,000 Means Kelly typed 25,000 words out of 75,000J=75,000-25,000J=50,000 Means Joseph typed 50,000 words out of 75,000So Joseph Typed 50,000 words at 90 minutes and each word time taken asJ=50,000/90Joseph typed=555.5 words per minute Now For Joseph type 10,000 words at timeJ=10,000/555.5Joseph Time taken=18 minutes to type 10000 words