Many years ago, a cruise liner sank in the middle of the
Atlantic Ocean. The survivors luckily landed on a remote desert
island. There was enough food for the 135 people to last four
weeks. Nine days later a rescue ship appeared, unluckily this
ship also sank, leaving an additional 36 people stranded on the
island to now share the original rationed food. The food
obviously had to be re-rationed, everyone was now on three-
quarters of the original ration, so how many days in total would
the food last, from the day of the original sinking?