here's a rate question off the online kaplan
jan: reads 30 pages per hour
steve: reads 40 pages per hour
jan starts reading a novel at at 4:30 pm
steve starts reading the same novel at at 5:20 pm
at what time will they be on the same page?
thanks for your help!
Let X = hours jan spent
30X = total pages jan reads, 40(X-5/6) = total pages steve reads
5/6 = (5:20pm - 4:30pm)/60minutes = 50minutes/60minutes
30 pages/hr * Xhr = 40pages/hr * (X-5/6) hr
30X = 40X - 200/6
10X = 200/6, X = 20/6 = 3 1/3
4:30pm + 3 1/3 hours = 7:50pm