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 and B worked together and received a total of Rs. 18,000 for 15 days. A's efficiency in the work was 5 times that of B's. The daily wage of A (in Rs.) was:
Samir and Puneet can complete the same work in 10 days and 15 days respectively. The work was assigned for Rs.4500. After working together for 3 days Samir and Puneet involved Ashok. The work was completed in total 5 days. What amount (in Rs.) was paid to Ashok?
5 women and 9 girls earn a total of ₹18,720 in 9 days, while 9 women and 16 girls earn a total of ₹ 52,080 in 14 days. How much will 12 women and 7 girls together earn (in ₹) in 13 days?
X, Y and Z completed a work costing Rs. 3,400, X worked for 5 days, Y for 7 days and Z for 10 days. If their daily wages are in the ratio of 4 ∶ 5 ∶ 3, how much amount will be received by X?
A,B and C can do a work in 10 days, 15 days, and 20 days, respectively. They finished that work together and got Rs. 2,600 as wages. Find C's wage.
