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a wheel barrow has a load of 360 lbs placed 1 ft behind the wheel. handles are 6 ft long.

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It's not clear what the measurements are. It looks like they mean the handles are 6 feet from the wheel.
 
I'm not going to give you the answer, but you can figure out the torque (or moment-arm) by multiplying force times distance to get foot-pounds.  360 pounds placed 1 foot from the wheel makes 360 foot-pounds of torque.
 
You then divide to get the force needed to balance this, using the length of the handles.