Jitesh and Kamal can complete a certain piece of work in 7 and 11 days, respectively. They started to work together, and after 3 days, Kamal left. In how many days will Jitesh complete the remaining work?
161 / 77
To solve the problem, we need to determine the total work done by Jitesh and Kamal together and then calculate the remaining work Jitesh completes alone.
Let's assume the total work is 1 unit.
Step 1: Calculate work rates. Jitesh's work rate is 1/7 (he completes 1 unit of work in 7 days). Kamal's work rate is 1/11.
Step 2: Determine work done together in 3 days. The combined work rate per day when they work together is (1/7 + 1/11).
To add these fractions, we find the common denominator:
1/7 + 1/11 = 11/77 + 7/77 = 18/77
In 3 days, they complete: (3 days) × (18/77 per day) = 54/77.
Step 3: Calculate remaining work. Subtract the work done together from the total work:
1 - 54/77 = 23/77.
Step 4: Calculate days for Jitesh to complete remaining work. Jitesh alone completes 1/7 of the work in one day. To find out how many days Jitesh will take to finish 23/77 is:
(23/77) ÷ (1/7) = 23/77 × 7 = 161/77.
Therefore, Jitesh will take 161/77 days to complete the remaining work.
Important Questions from Work and Wages
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A book has 250 pages. Person A reads 6 pages in an hour. Person B reads 8 pages in an hour. There are two chapters of 72 pages that are difficult for person B to read in the book, so person B takes double the time to read those pages. Who among them will finish the book first and how much sooner than the other?
Efficiencies of P, Q, R and S in doing a job are in the ratio 2 : 3 : 5 : 4. The wages paid for the job are Rs.4200. Who is paid the largest amount and how much is paid?
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