A can do a work in 24 days and B in 32 days. If they work together and get Rs. 5600 for the work, what is B's share?
A. Rs. 3000
B. Rs. 2400
C. Rs. 2800
D. Rs. 3200
Answer: Option B
Solution (By JKSSB Mock Tests)
Ratio of time taken by A : B = 24 : 32 = 3 : 4. Ratio of efficiency of A : B = 4 : 3. Total ratio parts = 4 + 3 = 7. B's share = (3 / 7) * 5600 = 3 * 800 = Rs. 2400.
Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In 4 days, work completed = 4 * (3 + 2) = 20 units. Remaining work = 60 - 20 = 40 units. Time taken by B to finish remaining work = 40 / 2 = 20 days. Total days = 4 + 20 = 24 days.
A and B can complete a piece of work in 18 days and 24 days respectively. They worked together for 6 days and then A left. In how many days will B complete the remaining work?
Explanation:
Total work = LCM(18, 24) = 72 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 6 days, work done = 6 * 7 = 42 units. Remaining work = 72 - 42 = 30 units. Time taken by B to finish remaining work = 30 / 3 = 10 days.
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