one of many wrote:Robert can eat a 20 kg bag of potatoes in 10 days. He and his wife Jane can eat the same bag in 7 days. How many days does it take Jane to eat a 20 kg bag of potattoes by herself?
The weight of the bag is irrelevant. We can plug in any number for the weight of the bag.
Let bag = 70 kg.
Rate for Robert = w/t = 70/10 = 7 kg. per day.
Combined rate for Robert+Jane = w/t = 70/7 = 10 kg. per day.
Thus, rate for Jane alone = rate for Robert+Jane - rate for Robert alone = 10-7 = 3 kg. per day.
Time for Jane alone = w/r = 70/3 days.
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