Question

According to a plan, a team of farmers decided to harvest 208 cubic meters of rice in several days. In the first four days, the team fulfilled the daily assignment, and then it harvested 7 cubic meters of rice over and above the plan every day. Therefore, a day before the planned date, they had already harvested 203 cubic meters of rice. How many cubic metres of rice a day did the team have to cut according to the plan?

A 16 Correct Answer Incorrect Answer
B 26 Correct Answer Incorrect Answer
C 24 Correct Answer Incorrect Answer
D 56 Correct Answer Incorrect Answer

Solution

Let the team dig x m3 per day. Then, total number of days required = (208/x) days According to questions, 4x + [(208/x) -5] (x + 7) = 203 4x +208 -5x +(1456/x) - 35 = 203 173 - x +(1456/x ) = 203

1456/x - x = 203 - 173 = 30
So either by solving this equations or putiing the value from evry option, x = 26.

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