Question

A mine extracts 2 tons of ore in an hour. Of the total ore extracted in a day, 4 tons is purchased by the government and more than 10 tons is sold to a mineral extractor. If the mine operates for x hours in a day, what is the simplest inequality that represents the number of hours the mine must operate to meet its obligations?
a: x > 3
b: x > 4
c: x > 5
d: x > 7

Answer 1

So to meet its obligations, the mine should get at least 14 tons of ore in one day.

Rate of mining = 2 ton ore/hr

Time required for 14 ton ore = 14 ton ore x 1 hr / 2 ton ore

= 7 hrs

Therefore, the simplest of inequality is

d: x>7hrs : Ans

Hope I helped