Ravika alone can complete three-fifth of a work in 105 days. Mallika can complete one-third of work in 50 days. In how many days Ravika and Mallika working together, can complete 26/25th of the work?
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. 60 days
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Understanding |
Application |
Calculation |
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Ravika alone can complete three-fifth of a work in 105 days. |
Time in which Ravika will complete the work = 175 days |
⇒ 105 × 5/3 = 175
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Mallika can complete one-third of work in 50 days. |
Time in which Mallika will complete the work = 150 days |
⇒ 50 × 3 = 150
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Suppose, Total work = 1050 units |
LCM of 175 and 150 = 1050 |
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Efficiency = Work/Time |
Efficiency of Ravika = 6 |
⇒ 1050/175 ⇒ 6 |
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Efficiency = Work/Time |
Efficiency of Mallika = 7 |
⇒ 1050/150 ⇒ 7 |
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Sum of efficiencies = 6 + 7 = 13 |
So, Working together, total time taken for completing 26/35th of work = 60 days |
⇒ (1050 × 26/35)/13 ⇒ 30 × 26/13 ⇒ 30 × 2 ⇒ 60 |