Question

a person walked from his home to the football stadium at a rate of 3 km per hour. After the game, he rode the bus back the same way at a rate of 22 km per hour. If the total time he spent travelling was 2 hours, how far did he walk

Answer 1

Let's say the distance he walked is "d" kilometers.

We know that the time he spent walking is equal to the time he spent on the bus, which is 2 hours in total.

Time spent walking = distance ÷ rate = d ÷ 3

Time spent on the bus = distance ÷ rate = d ÷ 22

Since the total time spent travelling is 2 hours, we can set up the following equation:

d ÷ 3 + d ÷ 22 = 2

Multiplying both sides by the least common multiple of 3 and 22 (66) gives us:

22d + 3d = 132

25d = 132

d = 5.28

Therefore, the person walked 5.28 kilometers.