Nikita can harvest her entire wheat crop in 72h.Her neighbour offers to help.His new combine can do the same job in 48h. How long would it take to harvest the wheat crop with both combines working...

Nikita can harvest her entire wheat crop in 72h.Her neighbour offers to help.His new combine can do the same job in 48h. How long would it take to harvest the wheat crop with both combines working together?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

Nikita can harvest her entire wheat crop in 72 h. The rate at which she harvests her crop is 1/72 per hour. Her neighbor can with his combine can do the same job in 48 hours. At rate at which he can do this is 1/48.

If the neighbor helps Nikita both of them can harvest the crop at the rate 1/48 + 1/72 = 5/144

The time taken by them to harvest the crop at this rate is 144/5 = 28.8 hours.

The two can harvest the wheat crop in 28.8 hours if they work together.

belle-chose's profile pic

belle-chose | Student, Grade 11 | (Level 1) eNoter

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Full question:

Nikita can harvest her entire wheat crop in 72h.Her neighbour offers to help.His new combine can do the same job in 48h. How long would it take to harvest the wheat crop with both combines working together?

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