Question

a contractor undertakes to dig a canal 12 km long in 350 days andemploys 45 men. after 200 days he finds that only 4.5 km of the canal hasbeen completed. find the number of extra men he must employ to finish thework in time

Answer 1

4.5 km in 200 days by 45 men
now remaining 7.5 km in 150 days by 45+x men
200*45/4.5 =(45+x)*150/7.5
on solving this we get x=55 so 55 men extra are required

Answer 2

He needs 100-45=55 men to finish the work in time.

Step-by-step explanation:

Since we have given that

Number of men = 45

Number of days = 350

Length of canal = 12 km

If the number of days = 200

length of canal = 4.5 km

So, we need to find the number of men.

According to question, we get that

$\dfrac{45\times 200}{4.5}=\dfrac{x\times 150}{7.5}\\\\2000\times 7.5=150x\\\\15000=150x\\\\x=\dfrac{15000}{150}\\\\x=100$

Hence, he needs 100-45=55 men to finish the work in time.

# learn more:

4. A

contractor undertakes to dig a canal.

lometre long, in 35 days and employed

o men. He finds that after 20 days only 2 km

of canal have been dug. How many more men

must he employ to finish the work in time?

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