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23 Oct 2010, 09:42
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Hi,
I was hoping to get the correct approach for the following types of basic problems in Time & Work.
Type I - Extra number of men required/employed
1) An engineer undertakes a project to build a road 15 km long in 300 days with 45 men employed. After 100 days, only 2.5 km of the road has been completed. Find the (approx.) number of extra men needed to complete the work in time.
a) 43
b) 45
c) 55
d) 68
e) 60
OA -
Type II - when amount paid is included
1) A can do a piece of work in 12 days. A and B complete the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?
a) 4 days
b) 4.5 days
c) 4.8 days
d) 5 days
e) 4.2 days
OA -
Type 3 - men leave halfway through work
1) In a fort, there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?
a) 12 days
b) 10 days
c) 8 days
d) 6 days
OA -
Any pointers would be helpful.
I was hoping to get the correct approach for the following types of basic problems in Time & Work.
Type I - Extra number of men required/employed
1) An engineer undertakes a project to build a road 15 km long in 300 days with 45 men employed. After 100 days, only 2.5 km of the road has been completed. Find the (approx.) number of extra men needed to complete the work in time.
a) 43
b) 45
c) 55
d) 68
e) 60
OA -
Type II - when amount paid is included
1) A can do a piece of work in 12 days. A and B complete the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?
a) 4 days
b) 4.5 days
c) 4.8 days
d) 5 days
e) 4.2 days
OA -
Type 3 - men leave halfway through work
1) In a fort, there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?
a) 12 days
b) 10 days
c) 8 days
d) 6 days
OA -
Any pointers would be helpful.
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Updated on: 23 Oct 2010, 17:57
Originally posted by ezhilkumarank on 23 Oct 2010, 17:44.
Last edited by ezhilkumarank on 23 Oct 2010, 17:57, edited 1 time in total.
Last edited by ezhilkumarank on 23 Oct 2010, 17:57, edited 1 time in total.
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Type 3 - men leave halfway through work
1) In a fort, there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?
a) 12 days
b) 10 days
c) 8 days
d) 6 days
[/quote]
Hence the number of days the remaining quantity will last = 10 days. However the original quantity was to last for only 4 more days if none of the soldiers had left.
Hence extra days is 10-4 = 6 days (D).
1) In a fort, there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?
a) 12 days
b) 10 days
c) 8 days
d) 6 days
| Food Availability | |||
| Men | Days | Quantity | |
| Given | 200 | 31 | 6200 |
| Till 27 days | 200 | 27 | 5400 |
| From 28th day | 80 | x | 800 |
Hence the number of days the remaining quantity will last = 10 days. However the original quantity was to last for only 4 more days if none of the soldiers had left.
Hence extra days is 10-4 = 6 days (D).
23 Oct 2010, 17:56
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Type II - when amount paid is included
1) A can do a piece of work in 12 days. A and B complete the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?
a) 4 days
b) 4.5 days
c) 4.8 days
d) 5 days
e) 4.2 days
Given A can do the work in 12 days. Hence A's rate is 1/12.
Also amount payment made to A and B is Rs 54 and Rs 81 respectively -- which is the ratio of 2:3.
Viewing only A's data: Since payment is proportional to the amount of work done.
Fraction of the total work done by A * Days in which A would have completed the work alone.
Hence (2/5) * 12 = 4.8 days. Hence A worked for 4.8 days @ a rate of (1/12) along with B to complete the work.
Answer C (4.8).
1) A can do a piece of work in 12 days. A and B complete the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?
a) 4 days
b) 4.5 days
c) 4.8 days
d) 5 days
e) 4.2 days
Given A can do the work in 12 days. Hence A's rate is 1/12.
Also amount payment made to A and B is Rs 54 and Rs 81 respectively -- which is the ratio of 2:3.
Viewing only A's data: Since payment is proportional to the amount of work done.
Fraction of the total work done by A * Days in which A would have completed the work alone.
Hence (2/5) * 12 = 4.8 days. Hence A worked for 4.8 days @ a rate of (1/12) along with B to complete the work.
Answer C (4.8).
