Question

A city bus travels 6 blocks east and 8 blocks north. Each block is 100 m long. If the bus travels this distance in 15 minutes, what is the average speed of the bus (m/s)?

Answer 1

The average speed of the city bus is 1.56 m/s, calculated by dividing the total distance of 1400 meters by the total travel time of 900 seconds.

Step-by-step explanation:

To calculate the average speed of the bus, we first need to determine the total distance traveled by the bus. The bus travels 6 blocks east and 8 blocks north, with each block being 100 m long. Therefore, the total distance traveled is the sum of the horizontal and vertical distances:

• 6 blocks east = 6 × 100 m = 600 m
• 8 blocks north = 8 × 100 m = 800 m

The total distance is 600 m + 800 m = 1400 m.

Next, we convert the travel time from minutes to seconds. There are 60 seconds in a minute, so 15 minutes equal 15 × 60 = 900 seconds.

Now we can calculate the average speed using the formula:

Average speed = total distance ÷ total time

Average speed = 1400 m ÷ 900 s = 1.56 m/s

Therefore, the average speed of the bus is 1.56 m/s.

Answer 2

The average speed of the bus, v = 1.55 m/s

Step-by-step explanation:

Given that,

Number of blocks traveled by bus towards east = 6

Number of blocks traveled by bus towards north = 8

Length of each block = 100 m

Distance traveled by bus towards east 6 x 100 = 600 m

Distance traveled by bus towards north 8 x 100 = 800 m

The total distance traveled, d = 600 + 800 = 1400

Time taken by the bus to travel is, t = 15 minutes

The velocity is given by the formula

v = d/t m

Substituting the values in the above equation

v = 1400 m /(15 x 60) s

= 1.55 m/s

Hence, the average speed of the bus, v = 1.55 m/s