Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time and Work

Question:

A road of 8 km length will be constructed in 75 days by 180 workers. But after 55 days it was found that only 6.6 km road was completed. Now how many people were needed to finish the work in the specified time?

Options:

100

103

105

110

Correct Answer:

105

Explanation:

Remaining work = 8 - 6.6 = 1.4 km

D2  = 75 - 55 = 20 days

M1 × D1 × W2 = M2 × D2 × W1

180 × 55 × 1.4 =  M2  ×  20 × 6.6 

M2 = \(\frac{180\; ×\; 55 \;× \;1.4 }{ 20\; × \;6.6  }\)

M2 = 105