Question1) A rope is cut into three pieces $P, Q$, and $R$. The lengths of the pieces are in the ratio $3: 5: 7$. If the rope is 33 feet 9 inches long, find the lengths of $P, Q$, and $R$.

Studdy Solution
Now, calculate the lengths of $P, Q,$ and $R$ using the value of $x$.
$$P = 3x = 3 \times 27 = 81 \text{ inches}$$ $$Q = 5x = 5 \times 27 = 135 \text{ inches}$$ $$R = 7x = 7 \times 27 = 189 \text{ inches}$$
Convert these lengths back to feet and inches:
$P = 81 \text{ inches} = 6 \text{ feet } 9 \text{ inches}$ $Q = 135 \text{ inches} = 11 \text{ feet } 3 \text{ inches}$ $R = 189 \text{ inches} = 15 \text{ feet } 9 \text{ inches}$
The lengths of $P, Q,$ and $R$ are $6 \text{ feet } 9 \text{ inches}, 11 \text{ feet } 3 \text{ inches},$ and $15 \text{ feet } 9 \text{ inches}$ respectively.