Answer:
40 ft
Step-by-step explanation:
Assuming no loss of energy in the system of pulleys, the work done is the same whether you move the load directly or through the pulleys.
W = Fd . . . . . . . . work is the product of force and distance
F(10 ft) = (0.25F)(d) . . . . . where d is the distance we want to find
d = 10F/(0.25F) = 40
The rope will need to move 40 feet.