showbiz wrote:You get up in the morning at 5:25 Am and start solving math questions at 30q/hr. Your friend gets up at 6:15 and starts solving at 40q/hr. At what time will your friend catch up?
[spoiler]8:45[/spoiler]
From 5:25am to 6:15am, the number of questions answers by you in 5/6 of an hour = r*t = 30*(5/6) = 25.
The CATCH-UP rate is equal to the DIFFERENCE between the two rates:
40-30 = 10 questions per hour.
Time for your friend to catch-up by 25 questions = w/r = 25/10 = 2.5 hours.
Since your friend starts at 6:15am, the time at which your friend catches up = 6:15 + 2.5 hours = 8:45am.
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