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
A can complete a work alone in 8 days. B can complete the same work alone in 12 days. C alone complete the same work in 16 days. They complete the work in 3 days with the help of D. If they get Rs.12000 for the work, then how much money does the D get?
If 15 men can complete a work in 16 days by working 8 hours daily, then in how many days will 10 men complete the work by working 12 hours daily?
10 men working 8 hours a day can finish a work in 28 days. In how many days, 8 men working 5 hours a day with complete 50% of that work?
Twenty lamps can be lighted for 6 hr a day for 20 days at a cost of Rs. 100. How much would be the cost of lighting 40 lamps, 8 hr for 12 days?
Six men can complete a job in two days. Four boys can complete the same job in eight days. In how many days would three men and six boys, working together, be able to complete the job?
