a contractor undertook to build a road in 100 days he..., Latest Questions, General Mathematics

Question:A contractor undertook to build a road in 100 days. He employed 110 men. After 45 days, he found that only `1/4` could be built. In order to complete the work in time, how many more men should be employed ?

/139

+ AnswerB

+ ExplanationRemaining work `= 3/4`

Remaining days` = (100 - 45) = 55`

Let x more men may be employed 

More work,more then (direct)

More days, less men (indirect)

Work` 1/4 : 3/4 }`

Days 55 : 45  : : 110 : (110 + x)

`110 + x = 3/4 xx 45 xx 110 xx 4/1 xx 1/55 = 270`

`:. x = 160`

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Question:A contractor undertook to build a road in 100 days. He employed 110 men. After 45 days, he found that only `1/4` could be built. In order to complete the work in time, how many more men should be employed ?

A 120

B 160

C 180

D 270

B