A can finish a job in 18 days. After working alone for 6 days he gets B's help, and together they finish it in 4 more days. How long would B alone take?
A worked 10 days → 10/18 = 5/9
B did the other 4/9 in 4 days
B alone = 9 days
Answer: 9 days
Time and Work · Exercise 4 of 5
65 moderate and difficult time and work questions, including a work-timeline chart and a wage table for data interpretation, in the style of IBPS / SBI PO and Clerk, RRB NTPC and Group D, UPSC CSAT, state PSC and IT campus placement tests.
A can finish a job in 18 days. After working alone for 6 days he gets B's help, and together they finish it in 4 more days. How long would B alone take?
A worked 10 days → 10/18 = 5/9
B did the other 4/9 in 4 days
B alone = 9 days
Answer: 9 days
A, B and C together finish a job in 6 days, and A and B together in 8 days. How long would C alone take?
C = 1/6 − 1/8 = (4 − 3)/24 = 1/24
C alone = 24 days
Answer: 24 days
A is 30% more efficient than B, and together they finish a job in 10 days. How long would B alone take?
Rates 1.3x + x = 2.3x = 1/10
x = 1/23 → B alone = 23 days
Answer: 23 days
A can finish a job in 20 days and B in 30 days. A works 5 days, B works 15 days, and C finishes the job in 5 days. How long would C alone take?
A did 5/20 = 1/4; B did 15/30 = 1/2
C did 1/4 in 5 days
C alone = 20 days
Answer: 20 days
A team can finish a job in 20 days. After 5 days two members fall ill and the team's speed drops by 20%. How many days in all does the job take?
5 days → 1/4 done; 3/4 left
New rate = 0.8/20 = 1/25 a day
Time = 3/4 × 25 = 18¾ days
Total = 23¾ days
Trap: 25 days applies the slowdown from day 1.
Answer: 23¾ days
A and B together finish a job in 24 days, and B is half as efficient as A. How long would A alone take?
A = 2 units, B = 1 → 3 a day
Job = 72 units
A alone = 36 days
Trap: 72 days is B alone.
Answer: 36 days
Ram can finish a project in 20 days and Shyam in 30 days. Ram works only Monday to Friday and Shyam only on Saturday and Sunday. Starting on a Monday, on which day of the project is it finished?
Job = 60 units; Ram 3, Shyam 2 a day
One week = 5 × 3 + 2 × 2 = 19 units
3 weeks (21 days) = 57 units
Day 22 (Monday, Ram) adds 3 → 60
Answer: Day 22
A and B together build one-third of a wall in 4 days, and A alone builds one-fourth of it in 6 days. How long would B alone take?
Together = 12 days for the wall; A alone = 24 days
B = 1/12 − 1/24 = 1/24
B alone = 24 days
Answer: 24 days
A and B together finish a job in 15 days, B and C in 20 days, and all three in 12 days. How long would B alone take?
A = 1/12 − 1/20 = 1/30
C = 1/12 − 1/15 = 1/60
B = 1/12 − 1/30 − 1/60 = 2/60 = 1/30
B alone = 30 days
Answer: 30 days
A can finish a job in 9 days, and B takes 50% more time than A. How long will they take together?
B alone = 9 × 1.5 = 13.5 days
Together = 9 × 13.5/22.5 = 5.4 days
Trap: 3.6 days reads it as B being faster.
Answer: 5.4 days
Timed online tests with instant scores and explanations.