Time and work Practice Question and Answer
8 Q: Bobby and Billy can complete a job in 28 days and 20 days, respectively. They work together for 5 days, after which Billy leaves the job. In how many days did Bobby alone complete the rest of the job?
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642a976ced76c064b8635cc2- 115 daysfalse
- 220 daysfalse
- 312 daysfalse
- 416 daystrue
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Answer : 4. "16 days"
Q: A can do a piece of work in 6 days, B in 10 days and C in 15 days. They jointly complete the work and earn Rs.300. The sum of their wages for 2 days is
1031 05f40db8254900c5349e9c45b
5f40db8254900c5349e9c45b- 1Rs.180false
- 2Rs.120false
- 3Rs.160false
- 4Rs.200true
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Answer : 4. "Rs.200 "
Q: A certain number of men can complete a work in 17 days working 8 hour a day. If the number of people is decreased to 60%. Then, find in how many hrs in a day should the remaining people work to complete the work in 51/2 days?
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606d6254affa2d5265b81793- 120true
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Answer : 1. "20 "
Q: A does 2/5 of a work in 9 days. Then B joined him and they together completed the remaining work in 6 days. B alone can finish the whole work in
1029 060632f128278fd441927b906
60632f128278fd441927b906- 112/13 daysfalse
- 22/11 daysfalse
- 310 daysfalse
- 418 daystrue
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Answer : 4. "18 days"
Q: A can finish one-third of a work in 5 days, B can finish 2/5th of the same work in 10 days and C can finish 75 % of the same work in 15 days. They work together for 6 days. The remaining work will be finished by B alone in:
1022 06051cb0ca37d522d6c152652
6051cb0ca37d522d6c152652- 12 daysfalse
- 2$$ {1{1\over 2}}$$ daystrue
- 33 daysfalse
- 45 daysfalse
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Answer : 2. "$$ {1{1\over 2}}$$ days"
Q: At a construction site, 200 workers were working on a building which is scheduled to end within 250 days. After 30 days, 20 workers leave the job. How many more days will it take to complete the work?
1022 0638f38c39ebad6607ba2e138
638f38c39ebad6607ba2e138- 1190 daysfalse
- 2186 daysfalse
- 3245 daystrue
- 4198 daysfalse
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Answer : 3. "245 days "
Q: A and B can do a work together in 18 days. A is three times as efficient as B. In how many days can B alone complete the work?
1022 064ccdf41a919c8488e301a5c
64ccdf41a919c8488e301a5c- 160 daysfalse
- 272 daystrue
- 354 daysfalse
- 464 daysfalse
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Answer : 2. "72 days"
Explanation :
Let's denote the work rate of A as "A" and the work rate of B as "B." We know that A is three times as efficient as B, so we can write:
A = 3B
Now, we also know that A and B can do a work together in 18 days. The work rate of A and B combined is the sum of their individual work rates, which can be represented as:
A + B
Since they complete the work in 18 days together, we can write:
(A + B) = 1/18
Now, we want to find how long it would take B alone to complete the work. Let's denote that time as "x" days. The work rate of B alone would be:
B (work rate of B alone) = 1/x
Now, we have two equations:
A = 3B
(A + B) = 1/18
We can substitute the value of A from the first equation into the second equation:
(3B + B) = 1/18
Combine like terms:
4B = 1/18
Now, isolate B by dividing both sides by 4:
B = (1/18) / 4
B = 1/72
So, B's work rate is 1/72 of the work per day. To find how many days B alone can complete the work, take the reciprocal of B's work rate:
x (number of days for B alone) = 1 / (1/72)
x = 72
Therefore, it would take B alone 72 days to complete the work.
Q: A and B together can complete a particular task in 4 days. If A alone can complete the same task in 6 days, how many days will B take to complete the task if he works alone?
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63d4cc88e144980db7336924- 18false
- 217false
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