Question 56
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 ?
Solution
Rajesh: 1000 items in 5 hours
Rate = 200 items/hour
Rakesh: 75% of 1000 = 750 items in 3 hours
Rate = 250 items/hour
Now, Work done in the first 2 hours ( when both working):
Combined rate: 200 + 250 = 450 items/hour
Work in 2 hours: 450 × 2 = 900 items
Remaining work: 1300 − 900 = 400 items
After 2 hours, only Rajesh works.
So, time taken by Rajesh: 400/200 = 2 hours
Total time taken: 2 + 2 hours = 4 hours
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