Samrat alone can complete a work in 10 days and Virat alone can complete the same work in 40 days. If they are working on alternate days with samrat starting the work, then in how many days will the total work be completed?
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. 16 days
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Understanding |
Application |
Calculation |
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Samrat and Virat can complete the work alone in 10 and 40 days respectively. |
Suppose, Total work = LCM of 10 and 40 = 40 units |
LCM of 10 and 40 = 10 × 4 = 40 |
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Efficiency = Work/Time |
Efficiency of a Samrat = 4 |
⇒ 40/10 = 4 |
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Efficiency = Work/Time |
Efficiency of a Virat = 1 |
⇒ 40/40 = 1 |
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They are working on alternate days with Samrat starting the work. |
So, Work done in 2 days = 5 units |
⇒ 4 + 1 = 5 |
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Hence, Time in which total work is done = 16 days |
⇒ (40/5) × 2 = 16 |