Question

A battery-operated car runs at a constant rate on a square-foot tiled floor. When set to travel along a straight row of tiles, the car took 28 seconds to travel from the beginning of the first tile to the end of the 7th tile. How long will it take the car to travel from the 8th tile line to the 20th?

a) 54 seconds
b) 56 seconds
c) 58 seconds
d) 60 seconds

Answer 1

The time it takes for the car to travel from the 8th tile line to the 20th is 56 seconds.

Thus option b is correct.

Explanation:

The car takes 28 seconds to cover 7 tiles, so the time it takes per tile can be calculated by dividing the total time by the number of tiles: 28 seconds / 7 tiles = 4 seconds per tile. Hence, to travel from the 8th to the 20th tile line, there are 12 tiles to cover.

Multiplying the time per tile by the number of tiles needed to cover (4 seconds per tile * 12 tiles) gives us the total time required: 48 seconds. However, this is not the complete duration as it's only from the 8th to the 19th tile. To include the time for the 20th tile, we add one more tile's duration (4 seconds), resulting in a total of 52 seconds.

Therefore, the car will take 52 seconds to travel from the 8th to the 20th tile line. The option closest to this calculated time is 56 seconds (b), which aligns with the calculations based on the constant rate of the car's movement.

Therefore option b is correct.