A and B together can complete a piece of work in 35 days, while A alone can complete it in 60 days. So, B alone can complete the work in how many days?
Question
A and B together can complete a piece of work in 35 days, while A alone can complete it in 60 days. So, B alone can complete the work in how many days?
Solution
To solve this problem, we first need to understand that the rate at which A and B can complete the work together is the sum of their individual rates.
Step 1: Find the rate of A and B working together. Since they can complete the work in 35 days, their combined rate is 1/35 work per day.
Step 2: Find the rate of A working alone. Since A can complete the work in 60 days, A's rate is 1/60 work per day.
Step 3: Subtract A's rate from the combined rate to find B's rate. So, B's rate is 1/35 - 1/60 = 1/105 work per day.
Step 4: To find out how long B alone can complete the work, we take the reciprocal of B's rate. So, B alone can complete the work in 105 days.
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