A construction company can remove 3/4 tons of dirt from a construction site each hour. How long will it take them to remove 24 tons of dirt from the site?

32 hours

Step-by-step explanation:

Given

Required

Determine time taken for 24 tons

As used in this question, Rate is the ratio of tons of dirt to time.

i.e.

Let t represents time when tons of dirt is 24 tons:

Recall that:

So, we have

Cross Multiply

Divide both sides by 3

Hence, time taken is 32 hours

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.