Two hikers, P P\,P and QQQ, climb up a mountain trail. Hiker P P\,P has four times the mass of hiker QQQ. Hiker Q Q\,Q climbs three times higher than hiker PPP. Which statement about their gravitational potential energy (GPE) gain is correct? Use the equation: potential energy=mass×height×gravitational field strength\text{potential energy} = \text{mass} \times \text{height} \times \text{gravitational field strength}potential energy=mass×height×gravitational field strength.
GPE gain of hiker Q=34×GPE gain of hiker P\text{GPE gain of hiker } Q = \frac{3}{4} \times \text{GPE gain of hiker } PGPE gain of hiker Q=43×GPE gain of hiker P
GPE gain of hiker Q=43×GPE gain of hiker P\text{GPE gain of hiker } Q = \frac{4}{3} \times \text{GPE gain of hiker } PGPE gain of hiker Q=34×GPE gain of hiker P
GPE gain of hiker Q=12×GPE gain of hiker P\text{GPE gain of hiker } Q = 12 \times \text{GPE gain of hiker } PGPE gain of hiker Q=12×GPE gain of hiker P
GPE gain of hiker Q=112×GPE gain of hiker P\text{GPE gain of hiker } Q = \frac{1}{12} \times \text{GPE gain of hiker } PGPE gain of hiker Q=121×GPE gain of hiker P