it takes 72 days for 25 men to build a road. How many days sooner would the same road be done if 20 more men were hired at the beginning of the construction
Let's start by finding the total man-days required to complete the road with 25 men. We can do this by multiplying the number of men by the number of days they work:
Total man-days = 25 men x 72 days = 1800
Now let's see how long it would take to complete the road with 45 men (25 + 20). Again, we can find the total man-days required by multiplying the number of men by the number of days they work:
Total man-days = 45 men x d days
where d is the number of days required to complete the road with 45 men.
We know that the amount of work to be done is the same in both cases, so we can set the two expressions for total man-days equal to each other:
1800 = 45 men x d days
Solving for d, we get:
d = 1800 / 45 = 40
Therefore, it would take 40 days to complete the road with 45 men. This is 32 days sooner than the original 72 days it took 25 men to complete the road.
Answers & Comments
Answer:
Let's start by finding the total man-days required to complete the road with 25 men. We can do this by multiplying the number of men by the number of days they work:
Total man-days = 25 men x 72 days = 1800
Now let's see how long it would take to complete the road with 45 men (25 + 20). Again, we can find the total man-days required by multiplying the number of men by the number of days they work:
Total man-days = 45 men x d days
where d is the number of days required to complete the road with 45 men.
We know that the amount of work to be done is the same in both cases, so we can set the two expressions for total man-days equal to each other:
1800 = 45 men x d days
Solving for d, we get:
d = 1800 / 45 = 40
Therefore, it would take 40 days to complete the road with 45 men. This is 32 days sooner than the original 72 days it took 25 men to complete the road.
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