A can count 100 eggs in 4 minutes while B can count the same number of eggs in 5 minutes. How much time will be required if they work together to count 450 eggs?

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RRB Group D 18 Sept 2022 Shift 1 Official Paper
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  1. 15 min
  2. 10 min
  3. 5 min
  4. 20 min

Answer (Detailed Solution Below)

Option 2 : 10 min
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Detailed Solution

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Given:

A can count 100 eggs in 4 minutes

B can count 100 eggs in 5 minutes

Total capacity of counting eggs = 450 eggs

Formula Used:

Efficiency × Time taken = Total capacity of counting eggs

Calculation:

A can count eggs per minute (A's Efficiency)=\({100 \over 4}\)= 25 units

B can count eggs per minute (B's Efficiency)=\( {100 \over 5}\) = 20 units

Total efficiency = 25+20 = 45 units

Efficiency ×  Time taken = Total capacity of counting eggs

⇒ 45 x Time taken = 450

⇒ Time  taken = \(\large {450 \over 45}\)= 10 minutes

 '10 minutes' will be required if they work together to count 450 eggs.

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