Abhishek and Sujay can together finish a work in 50 days. They worked together…
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Abhishek and Sujay can together finish a work in 50 days. They worked together for 35 days and then Sujay left. After another 21 days, Abhishek finished the remaining work. In how many days Abhishek alone can finish the work ?
Answer: D. 70 days — Key idea: use work rates to find Abhimanyu's individual rate from the remaining work. Combined rate of Abhimanyu and Supreet = 1/50 work per day. Work done…
- A.
60 days
- B.
80 days
- C.
75 days
- D.
70 days
Attempted by 15 students.
Show answer & explanation
Correct answer: D
Key idea: use work rates to find Abhimanyu's individual rate from the remaining work.
Combined rate of Abhimanyu and Supreet = 1/50 work per day.
Work done together in 35 days = 35 × (1/50) = 35/50 = 7/10 of the work.
Remaining work = 1 − 7/10 = 3/10.
Abhimanyu completes this remaining 3/10 in 21 days, so his daily rate = (3/10) ÷ 21 = 3/210 = 1/70.
Therefore, time for Abhimanyu alone to finish the whole work = reciprocal of his rate = 70 days.
Answer: 70 days.