Question

Meg laid 15 tiles in 50 minutes.
Jessica worked for 85 minutes at a faster rate per tile than Meg.
Choose all the rates that could be Jessica’s rate.


20 tiles in 85 minutes



24 tiles in 85 minutes



28 tiles in 85 minutes



1 tile in 3 minutes



1 tile in 4 minutes

Answer 1

Meg's rate = 15/50 = 0.30 tiles/min. Jessica must be faster (>0.30 tiles/min).

Compute each option's rate:
- 20/85 ≈ 0.235 (no)
- 24/85 ≈ 0.282 (no)
- 28/85 ≈ 0.329 (yes)
- 1 tile in 3 min = 1/3 ≈ 0.333 (yes)
- 1 tile in 4 min = 0.25 (no)

So the possible rates are: 28 tiles in 85 minutes and 1 tile in 3 minutes.