Question

math antics worksheets using unit rates to compare instructions: use unit rates to solve the following word problems. 1 tom and paul are building a brick wall. tom lays 420 bricks in 6 hours. paul lays 240 bricks in 3 hours. whose rate is faster? toms rate \\(\frac{420}{6} = \frac{70}{1}\\) bricks per hour pauls rate \\(\frac{240}{3} = \frac{80}{1}\\) bricks per hour 70 < 80 so pauls rate is faster. 31 kim and ben are planting a garden. kim plants 24 flowers in 2 hours. ben plants 33 flowers in 3 hours. whose rate is faster? 32 anns bakery bakes 450 loaves of bread in 3 days. marks bakery bakes 560 loaves of bread in 4 days. which bakery bakes bread at the faster rate? 33 dave and eric are painting a long fence. dave paints 125 feet of the fence in 5 hours. eric paints 175 feet in 7 hours. whose rate is faster? 34 a bear can run 400 feet in 8 seconds. a horse can run 290 feet in 5 seconds? which animal runs at the faster rate? 35 sam earned $380 working for 8 hours. rich earned $195 working for 4 hours. who has the higher rate of pay? 34. the \\(\square\\) rate is faster because \\(\square\\) is greater than \\(\square\\). show your work

Explanation:

Step1: Calculate bear's unit rate

To find the bear's speed (unit rate), divide distance by time. The bear runs 400 feet in 8 seconds, so:
$\frac{400}{8} = 50$ feet per second.

Step2: Calculate horse's unit rate

The horse runs 290 feet in 5 seconds. So:
$\frac{290}{5} = 58$ feet per second.

Step3: Compare the two rates

Now compare 50 (bear's rate) and 58 (horse's rate). Since $58 > 50$, the horse's rate is faster.

Answer:

The horse's rate is faster because 58 is greater than 50.