AAPL wrote:Abby and Bobby type at constant rates of 80 words per minute and 60 words per minute, respectively. Bobby begins typing before Abby and has typed 600 words when Abby begins typing at 1:30 pm. If they continue typing at their respective rates, at what time will Abby have typed exactly 200 more words than Bobby?
A. 1:40 PM
B. 1:50 PM
C. 2:00 PM
D. 2:10 PM
E. 2:20 PM
For Abby to CATCH-UP by 600 words and type AHEAD 200 words, she must type a total of 800 more words than Charlie.
When people compete, SUBTRACT THEIR RATES.
Since Bobby types 60 words per minute, and Abby types 80 words per minute, every minute Abby types 20 more words than Bobby -- the DIFFERENCE between their two rates.
Thus:
Time for Abby to type 800 more words than Bobby = (required page difference)/(rate difference) = 800/20 = 40 minutes.
Since Abby starts reading at 1:30pm and needs 40 minutes to type 200 pages ahead of Bobby, we get:
1:30pm + 40 minutes = 2:10pm.
The correct answer is
D.
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