Question

Hitesh can complete a work alone in 24 days and Jinesh can complete the same work in 30 days alone. With the help of Ishaan, they can complete this work in 10 days. In how many days will Ishaan complete this work alone?
1. 32 days
2. 36 days
3. 48 days
4. 40 days

Answer 1

Correct Answer - Option 4 : 40 days

Given:

Time taken by Hitesh to complete the work = 24 days

Time taken by Jinesh to complete the work = 30 days

Time taken with the help of Ishaan to complete the work = 10 days

Formula used:

Efficiency = Total work/Time taken

Calculation:

LCM of (24, 30 and 10) = 120 = Total work

Efficiency of Hitesh = 120/24 units/day

⇒ 5 units/day

Efficiency of Jinesh = 120/30 units/day

⇒ 4 units/day

Efficiency of all of them together = 120/10 units/day

⇒ 12 units/day

Efficiency of Ishaan = 12 – (5 + 4) units/day

⇒ (12 – 9) units/day

⇒ 3 units/day

Time taken by Ishaan = 120/3 days

⇒ 40 days

∴ Time taken by ishaan to complete the work is 40 days