Answer:
150 inches (12.5 ft)
Step-by-step explanation:
The work done to lift the 500 pound block 3 inches should be the same as that to lift the 10 pond object a given distance.
The following is the equation one needs to solve:
![10 \,lb\,* \,x\,=\,500\,lb\,*\,3\,in\\10 \,lb\,* \,x\,=\,1500\,lb\,in\\](https://img.qammunity.org/2020/formulas/physics/middle-school/nd8l2iwyomz30s2t3clsj0rtqnp9qgbs4r.png)
therefore solving for the distance "x" gives as the answer (in inches):
![10 \,lb\,* \,x\,=\,1500\,lb\,in\\x\,=\,(1500\,lb\,in)/(10\,lb) \\\\x\,=150\,in](https://img.qammunity.org/2020/formulas/physics/middle-school/nkkxwdngu8zwcxnn80968o0zf2tv5jsgxo.png)
which can also be given in feet as: 12.5 ft