Advertisement Remove all ads

A Contractor Undertakes to Build a Wall 1000 M Long in 50 Days. He Employs 56 Men, but at the End of 27 Days, He Finds that Only 448 M of the Wall is Built. How Many Extra Men Must the Contractor - Mathematics

Sum

A contractor undertakes to build a wall 1000 m long in 50 days. He employs 56 men, but at the end of 27 days, he finds that only 448 m of the wall is built. How many extra men must the contractor employ so that the wall is completed in time?

Advertisement Remove all ads

Solution

Number of men employed in the beginning = 56

Length of wall = 1000 m No. of days = 50

In the time of 27 days, only 448 m of the wall was completed

Remaining period = 50 – 27 = 23 days

and length of wall to be completed = 1000 – 448 = 552

Now in 27 days, 448 m long wall was completed by = 1000 m

in 1 day, 448 m long was completed by = 56 x 27

in 1 day, 1 m long wall will be completed by

`=(56xx27)/448` m

and in 23 days 552 m long wall be completed by

`=(56xx27xx552)/(448xx25)` men

`=(1xx27xx24)/8` = 81 men

∴ No. of extra men required
= 81 − 56 = 25 men

Concept: Concept for Unitary Method (With Only Direct Variation Implied)
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 10 Direct and Inverse Variations
Exercise 10 (D) | Q 11 | Page 130
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×