Answer:
hikers can travel before they have to turn around be "d" days. Also, let's represent the supplies the hikers have with "s."Given that after three days the hikers used 2/5 of their supplies, we can say that they have 3/5 of their supplies left. Hence,3/5s = Supplies remaining after 3 days, which means that2/5s = Supplies used in the first 3 daysWe need to find the number of days the hikers can travel before they have to turn around. So, we can say that the ratio of supplies used to the number of days traveled will be equal to the ratio of supplies remaining to the number of days remaining.2/5s ÷ 3 = (3/5s) ÷ dWe can simplify the above expression to find d as:d = (3/2) × 3/5 = 9/10 daysTherefore, the hikers can go forward for 9/10 days before they have to turn around.