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7 experts and 5 trainees can complete a job in 9 days while 4 experts and 15 trainees can complete it in 12 days. How many days will 5 experts and 6 trainees need to complete the job?
1. 10
2. 12
3. 14
4. 16

1 Answer

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Best answer
Correct Answer - Option 2 : 12

Given:

7 experts and 5 trainees can complete a job in 9 days

4 experts and 15 trainees can complete it in 12 days

Formula used:

Total work = Men × Day

Calculation:

Let efficiency of expert be E and efficiency of trainees be T

⇒ (7E + 5T) × 9 = (4E + 15T) × 12

⇒ 63E + 45T = 48E + 180T

⇒ 63E – 48E = 180T – 45T

⇒ 15E = 135t

⇒ E/T = 9/1

So, efficiency of experts is 9 and trainees is 1.

Then, total work

⇒ (7E + 5T) × 9

⇒ (7 × 9 + 5) × 9

⇒ (63 + 5) × 9

⇒ 612

Then, 5 Expert and 6 trainees need to complete 612 unit work is

⇒ (5E + 6T) × Days = 612

⇒ (5 × 9 + 6) × Days = 612

⇒ 51 × Days = 612

⇒ Days = 612/51

⇒ Days = 12

5 experts and 6 trainees need to complete the job in 12 days

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