Parramatta Pizza is a restaurant well known for delicious pizza and has an excellent record of on-time home delivery. The owner of the restaurant wants to congratulate both his delivery drivers on another year of fine work and considers giving them a huge bonus. However, the owner, always having his own interests at heart, feels that a winner-takes-all competition is a clever way of awarding the better of the two drivers and speeding up delivery times for that night. The owner calls in the two drivers, Peter and Jake, and explains that whoever can deliver the first set of orders of the night fastest wins the bonus. Secretly, the owner believes that Peter will likely win, because Peter is quite well organised and never late to work. Jake, on the other hand, is clever, but easily distracted and is often very late (and stressed) as a consequence. Later that day Peter arrives to work on time and waits for the first orders. Not long later the owner states that two pizza orders have come in: one for delivery to 16 Park road and the other to 38 Station street. Peter knows both streets and sets off confidently. After an uneventful trip to Park rd, Peter makes his first delivery (which takes exactly 8 min) and begins the journey to Station street. It takes Peter 18 min to drive from 16 Park road to 38 Station street and it takes a further 8 min for this second delivery. Amazingly, Peter is so consistent that his average speed is always 33 km/h when driving. Fifteen minutes after Peter's departure from Parramatta Pizza Jake rushes into the restaurant, flustered. He apologises for being late, exclaiming that it wasn't his fault, and begs the owner to give him a chance to win the bonus. The owner frowns but concedes and makes up the two pizza orders again. As soon as they are ready Jake picks up the pizzas and sets off at a run to his car. By the time Jake speeds away from the restaurant towards Park rd, he is exactly 39 minutes and 9 seconds later than Peter's departure time. Jake frantically swerves through traffic trying desperately to make up lost time. Indeed, he completely disregards the speed limits and travels at an average of 20 m/s to his first delivery address on Park rd. Glancing at the map on his phone he notices that it is only a distance of 9.9 km from Parramatta Pizza to 16 Park road... He can still make it if he hurries, he tells himself! Although, Jake knows from experience that the minimum time it takes him to deliver an order is 138 seconds. Note that both drivers take the same routes to Park rd and to Station st, and experience the same traffic conditions. How fast does Jake need to travel from 16 Park rd in order to arrive at 38 Station st and deliver the second pizza order before Peter? Will Jake inevitably be late again and face a disapproving shake of the head from the owner while perfect Peter takes the prize? State who wins the bonus and please show all your working.