I need help with a math problem.?

Science & Mathematics by Anonymous 2018-05-25 11:05:40

Social Science

4 answers

After departing from the same point at the same time, Tom arrives at a city two hours before Bill does, coming from the same direction. If Tom travels at 60mph and Bill travels at 55mph, How long does the drive take each person?

Anonymous

Let Tom spend t hrs to complete the journey, then Bill spends t+2 hrs. 60t=55(t+2) => 5t=110 => t=22 Ans. Tom spends 22 hrs; Bill spends 24 hrs.
Anonymous

d is the distance in miles Tom travels for d/60 hours and Bill for d/55 hours. d/60 = d/55 - 2 d/60 - d/55 = -2 11d/660 - 12d/660 = -2 d = 1320 miles Tom travels for d/60 = 22 hours Bill travels for d/55 = 24 hours
Anonymous

Tom's time = distance/speed = d/60 Bill's time = d/55 d/60=d/55+2 d/60-2 = d/55 d/60-d/55 = 2 (55d-60d) / 3300 = 2 -5d = 6600 d = -1320 Tom's time = 1320/60 = 22 hrs Bill's time = 1320/55 = 24 hrs
Anonymous

B = Bill's time 60(B-2) = 55B 5B = 120 Bill = 24 hours Tom = 22 hours