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

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

1 answer

To determine how many yards Marc walked from point P to point Q and then from point Q to point R, we first need to calculate the distances in blocks and then convert those distances into yards.

  1. Distance from point P to point Q:

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

    • Point R is 3 blocks above point Q.
    • The distance from point Q to point R in yards is: \[ 3 \text{ blocks} \times 120 \text{ yards/block} = 360 \text{ yards} \]
  3. Total distance walked:

    • To find the total distance Marc walked, we add the distances from P to Q and from Q to R: \[ 600 \text{ yards} + 360 \text{ yards} = 960 \text{ yards} \]

Thus, the total distance that Marc walked is 960 yards, which corresponds to answer C. 960 yards.