A contractor promised to build a road 16 km. long in 150 days and put 224 men on the job. After 84 days he found that only 7 km of the road was constructed. How many additional men should he employ to finish the work 3 days earlier ?
Answers
Given : a contractor promised to build a road 16 km long in 150 days
put 224 men on the job . after 84 days he found that only 7 km of the road was constructed
To Find : how many additional men should be employed to finish the work 3 days earlier
Solution:
Work done by 224 mean in 84 Day
= 224 x 84 Man days = 7 km
Remaining work = 16 - 7 = 9 km
Remaining Days = 150 - 84 = 66 days
to finish the work 3 days earlier
Hence available days = 66 - 3 = 63 Days
Let say additional Men = M
Total Available man power = 224 + M
Work will be done = (224 + M ) * 63 Man Days
(224 + M ) * 63 Man days = 9 km
224 x 84 Man days = 7 km
=> (224 + M ) * 63 / ( 224 * 84 ) = 9/ 7
=> (224 + M ) = 224 * 12/ ( 1 * 7)
=> (224 + M ) = 32 x 12
=> 224 + M = 384
=> M = 160
160 additional Man Should be employed
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