A cargo plane left London and flew toward the airshow at an average speed of 360 mph. An Air Force plane left sometime later, flying in the
same direction at an average speed of 450 mph. After flying for eight
hours, the Air Force plane caught up with the cargo plane. How long had
the cargo plane been flying for?

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?