Question

A construction crew is pouring a concrete foundation. They complete 1/4 of the total job on the first day. On the second day, they pour concrete for 2/3 of the remaining work. On the third day, the crew works for 4 hours and completes the final 1/5 of the original total job, plus an extra 2 square feet due to increased efficiency.What is the total size of the concrete foundation in square feet, and how many square feet did the crew complete on the second day?

Answer 1

Let the total be T ft².

Day 1: (1/4)T done, remaining = (3/4)T.
Day 2: (2/3) of remaining = (2/3)(3/4)T = (1/2)T done, leaving (1/4)T.
Day 3: they actually finish (1/5)T + 2, which equals the remaining (1/4)T.

So (1/4)T = (1/5)T + 2 => (1/20)T = 2 => T = 40 ft².

Second day amount = (1/2)T = 20 ft².

Answer: total = 40 ft²; second day = 20 ft².