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A and B completed a work together in 5 days. had A worked at twice the speed and B at half the speed, it would have taken them four days to complete the job. How much time would it take for A alone to do the work?

a) 10 days
b) 20 days
c) 25 days
d) 24 days

Answer: a
Explanation: Assume work to be done 100%.
First case,
A + B = $$\frac{{100}}{5}$$ = 20% work done per day ——– (1)
Second case,
2A + $$\frac{{\text{B}}}{2}$$ = $$\frac{{100}}{4}$$ = 25% work done per day —— (2)
On solving equation (1) and (2), we get
A = 10 days

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