Study the map extract provided on a scale of 1:50,000 and answer the questions that follow. In your new outline, insert and name: (i) the secondary road, (ii) the trigonometrical station, (iii) Mayo Jarandi settlement, (iv) River Juji and indicate its direction of flow with an arrow.

$$m_h c (T_h - T_f) = m_c c (T_f - T_c)$$

where $c = 1~\frac{\mathrm{cal}}{\mathrm{g} \cdot ^\circ\mathrm{C}}$, $T_h = 80^\circ\mathrm{C}$, $T_c = 20^\circ\mathrm{C}$.

$$4000~\mathrm{cal} + 500~\mathrm{cal} = 25 T_f + 50 T_f$$ $$4500~\mathrm{cal} = 75 T_f$$

$$Q_h = m_h c (T_h - T_f) = 50~\mathrm{g} \times 1~\frac{\mathrm{cal}}{\mathrm{g} \cdot ^\circ\mathrm{C}} \times (80^\circ\mathrm{C} - 60^\circ\mathrm{C})$$ $$Q_h = 50~\mathrm{g} \times 20^\circ\mathrm{C} = 1000~\mathrm{cal}$$

$$Q_c = m_c c (T_f - T_c) = 25~\mathrm{g} \times 1~\frac{\mathrm{cal}}{\mathrm{g} \cdot ^\circ\mathrm{C}} \times (60^\circ\mathrm{C} - 20^\circ\mathrm{C})$$ $$Q_c = 25~\mathrm{g} \times 40^\circ\mathrm{C} = 1000~\mathrm{cal}$$

Final temperature of the mixture: $\boxed{60^\circ\mathrm{C}}$
Heat lost by hot water: $\boxed{1000~\mathrm{cal}}$
Heat gained by cold water: $\boxed{1000~\mathrm{cal}}$