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 that Marc walked from point P to point Q, and then from point Q to point R, we first need to determine the distances in blocks and then convert those distances to yards.

1. Distance from P to Q:
   Point Q is 5 blocks away from the right of point P. Since each block is 120 yards, the distance from P to Q is:
   \[ \text{Distance P to Q} = 5 \text{ blocks} \times 120 \text{ yards/block} = 600 \text{ yards} \]

2. Distance from Q to R:
   Point R is 3 blocks away from the bottom of point Q. Again, each block is 120 yards, so the distance from Q to R is:
   \[ \text{Distance Q to R} = 3 \text{ blocks} \times 120 \text{ yards/block} = 360 \text{ yards} \]

3. Total distance walked:
   Now we add the distances from P to Q and from Q to R:
   \[ \text{Total distance} = \text{Distance P to Q} + \text{Distance Q to R} = 600 \text{ yards} + 360 \text{ yards} = 960 \text{ yards} \]

Thus, the total distance that Marc walked is \( \boxed{960} \) yards.