35 workers are employed to complete a construction
project in 16 days. Before the project starts, the boss
of the company is told that he needs to complete
the project in 14 days. Assuming that all the workers
work at the same rate, how many more workers does
he need to employ in order to complete the project on time?
Answers
Step-by-step explanation:
Statement of the given problem,
(i) 35 workers complete a project in 16 days. The boss of the company is told that he needs to complete the project in 14 days. How many more workers does he need to employ in order to complete the project on time?
(ii) Let N denotes the number of more workers needed to be employed in order to complete the project on time.
We now that time (t) required to complete a project is inversely proportional to the number (n) of workers.
Hence we get following condition,
t ∝ 1/n or t*n = constant …. (1)
Therefore from (i), (ii) & (1) we get following relation,
(N + 35)*14 = 35*16
or N + 35 = 40 or N = 5 [Ans
Statement of the given problem,
(i) 35 workers complete a project in 16 days. The boss of the company is told that he needs to complete the project in 14 days. How many more workers does he need to employ in order to complete the project on time?
(ii) Let N denotes the number of more workers needed to be employed in order to complete the project on time.
We now that time (t) required to complete a project is inversely proportional to the number (n) of workers.
Hence we get the following condition,
t ∝ 1/n or t*n = constant …. (1)
Therefore from (i), (ii) & (1) we get following relation,
(N + 35)*14 = 35*16
or N + 35 = 40 or N = 5 [Ans]