Given, Rajesh can check the quality of 1000 items in 5 hours
⇒ Efficiency of Rajesh = 200 items/hr.
Also given, Rakesh can complete the 75% of same job in 3 hours
⇒ time taken by Rakesh to complete 100% of the job =
×3 = 4 hours.
⇒ Efficiency of Rakesh = 250 items/hr.
Givens only 2 hours. Let say time spent by Rajesh be 't' hours, which is also the total time taken.
Total Work = Efficiency time taken
⇒1300=250×2+200×t ⇒200t=800 ⇒t=4 Hence the time taken in the process of checking 1300 items is 4 hours.