Question
‘A’ and ‘B’ can do a piece of work in 16 days
and 24 days, respectively. ‘A’ started working alone and was replaced by ‘B’ after 8 days. In how many days can ‘B’ complete the remaining amount of work alone?Solution
Let the total work be 48 units (LCM of 16 and 24) Efficiency of ‘A’ = 48/16 = 3 units/day Efficiency of ‘B’ = 48/24 = 2 units/day Let the number of days taken by ‘B’ to finish the remaining amount of work be ‘x’ ATQ, (3 × 8) + 2x = 48 Or, 2x = 48 – 24 Or, 2x = 24 Or, x = 24/2 = 12 Therefore, time taken by ‘B’ to complete the remaining work alone = 12 days
A and B together, B and C together and A and C together can complete a piece of work in 10 days, 14 days and 18 days respectively. Find the ratio...
A, B and C can mow a field in 36 days, 72 days and 54 days respectively. All the three began the work together on January 1, 2016, but A left 8 ...
Komal and Seema individually can complete a task in ‘4a’ hours and ‘6a’ hours respectively. If they together can complete half of the work in 6 ...
- 50 workers working 6 hours a day take 18 days to complete a task. How many workers working for 5 hours a day are needed to complete four times the given ta...
25 men can complete a piece of work in 13 days. One man starts the work and after every day one more man joins the work and this continues till the work...
Ratio of the work done by P, Q and R in one day is 5:3:7 respectively. They all together can complete the work in 35 days. Q and R worked on it for 20 d...
Aman and Bheema together can finish 50% of a task in 12 days, while Chinky alone can finish 30% of the same task in 12 days. Dete...
A and B can complete a work together in 18 days. If A alone can complete one-third of the work in ‘x’ days and remaining work is completed b...
‘N’ men can complete a work together in 24 days. All of them started the work together, but each day, four men left the work. The total time taken t...
'Andy' and 'Ben' together can finish some work in 27 days. If 'Andy' alone can finish it in 45 days, then find the time taken by 'Ben' to finish the wor...
