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A harvester's team had to harvest 170 hectares of a field. For the first four days, the team harvested as per the plan. After that, they started harvesting at double the rate planned for every day. So, the work was finished eight days before the planned date. How many hectares had to be harvested by the team each day as per the initial plan?
  • a)
    9.0 hectares
  • b)
    8.5 hectares
  • c)
    8.0 hectares
  • d)
    7.5 hectares
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A harvesters team had to harvest 170 hectares of a field. For the firs...
To find the answer, let's break down the problem step by step:

Step 1: Find the total number of hectares harvested in the first four days.
Let's assume that the team harvested x hectares per day for the first four days. Therefore, the total number of hectares harvested in the first four days would be 4x.

Step 2: Find the total number of hectares harvested in the remaining days.
Since the work was finished eight days before the planned date, the remaining days would be 8 - 4 = 4 days.
According to the problem, the team started harvesting at double the rate planned for every day. So, for the remaining four days, they harvested 2x hectares per day. Therefore, the total number of hectares harvested in the remaining days would be 4 * 2x = 8x.

Step 3: Find the total number of hectares harvested.
The problem states that the team had to harvest 170 hectares in total. Therefore, the equation would be:
4x + 8x = 170
12x = 170
x = 170/12
x = 14.17

Step 4: Find the number of hectares harvested by the team each day as per the initial plan.
Since the question asks for the number of hectares harvested per day as per the initial plan, the answer would be x = 14.17 hectares per day.

Therefore, the correct answer is option (B) 8.5 hectares.
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A harvesters team had to harvest 170 hectares of a field. For the first four days, the team harvested as per the plan. After that, they started harvesting at double the rate planned for every day. So, the work was finished eight days before the planned date. How many hectares had to be harvested by the team each day as per the initial plan?a)9.0 hectaresb)8.5 hectaresc)8.0 hectaresd)7.5 hectaresCorrect answer is option 'B'. Can you explain this answer?
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