Question

Rajesh can check the quality of 1000 items in 5 hours and Rakesh can complete 75% of the same job in 3 hours. How much time is required for both of them to check 1300 items, if Rakesh stops checking after 2 hours?
1. 1 hour
2. 2 hours
3. 4 hours
4. 3 hours

Answer 1

Correct Answer - Option 3 : 4 hours

Calculation:

Work = time × efficiency

For Rakesh:

75% work → 3 hours

100% work→ 3 × 4/3 = 4 hours

For Rajesh:

100% work → 5 hours

Work	Time	Efficiency
Rakesh	4 hours	1000/4 = 250 units
Rajesh	5 hours	1000/5 = 200 units
Total work	1000

Rakesh works for 2 hours.

Let Rajesh work for x hours.

1300 = 250 × 2 + 200 × x

x = 800/200 = 4 hours

∴ Rajesh will work for 4 hours.