The map below shows the downtown area of a city. Each block shown on the map is 120 yards long.

Question

The map has street numbers on the horizontal line and street name on the vertical line. Point Q is 5 blocks away from the right of point P and point R is 3 blocks away from the bottom of point Q. The scale reads length of the block equals 120 yards.

Marc walked from point P to point Q, and then from point Q to point R. How many yards did he walk in all?

A.
128 yards

B.
240 yards

C.
960 yards

D.
1,080 yards

Answer 1

To find the total distance Marc walked from point P to point Q and then from point Q to point R, we need to calculate the distances for each segment of his walk using the given map scale.

1. Walking from Point P to Point Q:

   • Point Q is 5 blocks to the right of Point P.
   • Each block is 120 yards long.
   • Therefore, the distance from P to Q is: \[ 5 \text{ blocks} \times 120 \text{ yards/block} = 600 \text{ yards} \]

2. Walking from Point Q to Point R:

   • Point R is 3 blocks above Point Q.
   • Again, each block is 120 yards long.
   • Therefore, the distance from Q to R is: \[ 3 \text{ blocks} \times 120 \text{ yards/block} = 360 \text{ yards} \]

3. Total Distance Walked:

   • Now, we add the distances for both segments: \[ 600 \text{ yards} + 360 \text{ yards} = 960 \text{ yards} \]

Thus, the total distance Marc walked is 960 yards.

The correct answer is C. 960 yards.