Ram completes a work in 16 days, Laxman takes 20 days to complete the

1.	Ram completes a work in 16 days, Laxman takes 20 days to complete the same work. They work together for 4 days and then Ram leaves. In how many more days will Laxman complete the work?1. 162. 133. 124. 11
Answer» Correct Answer - Option 4 : 11 Given: Ram completes a work in 16 days Laxman completes the same work in 20 days Both worked together for 4 days Ram left the work after 4 days Formula Used: Work = Efficiency × Time Calculation: Let Laxman will complete the work in D more days Total work is LCM of 16 days and 20 days ⇒ Total work = 80 Efficiency of Ram = 80/16 ⇒ 5 Efficiency of Laxman = 80/20 ⇒ 4 Both worked together for 4 days and then Ram left and the remaining work is completed by Laxman in D days 4(5 + 4) + D × 4 = 80 ⇒ 4 × 9 + 4D = 80 ⇒ 4D = 80 – 36 ⇒ D = 44/4 ⇒ D = 11 ∴ In 11 more days Laxman will complete the work.

Ram completes a work in 16 days, Laxman takes 20 days to complete the same work. They work together for 4 days and then Ram leaves. In how many more days will Laxman complete the work?1. 162. 133. 124. 11

Answer» Correct Answer - Option 4 : 11

Given:

Ram completes a work in 16 days

Laxman completes the same work in 20 days

Both worked together for 4 days

Ram left the work after 4 days

Formula Used:

Work = Efficiency × Time

Calculation:

Let Laxman will complete the work in D more days

Total work is LCM of 16 days and 20 days

⇒ Total work = 80

Efficiency of Ram = 80/16

⇒ 5

Efficiency of Laxman = 80/20

⇒ 4

Both worked together for 4 days and then Ram left and the remaining work is completed by Laxman in D days

4(5 + 4) + D × 4 = 80

⇒ 4 × 9 + 4D = 80

⇒ 4D = 80 – 36

⇒ D = 44/4

⇒ D = 11

∴ In 11 more days Laxman will complete the work.

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