Ram can complete a work in 30 days. Shyam is 50% more efficient than Ram. In how many days Shyam can complete the work alone

Questions : Ram can complete a work in 30 days. Shyam is 50% more efficient than Ram. In how many days Shyam can complete the work alone ?

Answer:  

 Here's a direct shortcut approach without formulas or rules:

1. Ram completes the work in 30 days.

   • So, his work efficiency is 1/30 (fraction of work done per day).

2. Shyam is 50% more efficient than Ram.

   • That means Shyam does 1.5 times the work Ram does in a day.
   • So, Shyam’s efficiency = 1.5 × (1/30) = 1/20 (work done per day).

3. Total work is 1 unit, so the number of days Shyam needs:

   $$\text{Days} = \frac{1}{\text{Shyam's efficiency}} = \frac{1}{1/20} = 20 \text{ days}$$

Final Answer:

Shyam alone can complete the work in 20 days.

Additional Information

Here's a shortcut formula for such problems:

$$\text{Time taken by more efficient person} = \frac{\text{Time taken by less efficient person} \times 100}{100 + \text{Percentage increase in efficiency}}$$

Given:

• Ram takes 30 days.
• Shyam is 50% more efficient than Ram.

Applying the Formula:

$$\text{Shyam's time} = \frac{30 \times 100}{100 + 50}$$ $$= \frac{30 \times 100}{150}$$ $$= \frac{3000}{150} = 20 \text{ days}$$

Final Answer:

Shyam alone can complete the work in 20 days.

CBSE / NCERT / SAT/ UPSC 

You Can Translate It In Your Language :-

  EDUTICAL

Mock Test Click Here

Maddhamik Previous Year Solution Click Here

CBSE CLASS 10 History Notes Click Here

If you like this content, please CLICK any of the Ads In This Page.

Thank you 

Team EDUTICAL