A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. Find the original number of workers. MCQ with Answer and Explanation

A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. Find the original number of workers.
A. 110
B. 100
C. 55
D. 120
Answer: Option A
Solution (By JKSSB Mock Tests)
Let the original number of workers be x. Using M1 * D1 = M2 * D2: x * 100 = (x - 10) * 110 => 100x = 110x - 1100 => 10x = 1100 => x = 110.

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Practice More Time and Work Questions

Question #1
A can complete a work in 22 days and B can complete the same work in 17 days. If they work together, in how many days will the work be completed?
A. 13.59
B. 11.59
C. 15.59
D. 9.59

Correct Answer: Option D


Explanation:
Combined rate = 1/22 + 1/17. Time = 1 ÷ combined rate = 9.59 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 14 days and B in 23 days. If they work together, the work will be completed in:
A. 8.7
B. 23.7
C. 13.7
D. 18.7

Correct Answer: Option A


Explanation:
Combined rate = 1/14 + 1/23. Required time = 8.7 days.

This question belongs to: Maths Time and Work
Question #3
If 5 men and 2 boys can do in a day 4 times as much work as a man and a boy together, find the ratio of the efficiency of a man to that of a boy.
A. 3 : 1
B. 4 : 1
C. 2 : 1
D. 1 : 2

Correct Answer: Option C


Explanation:
Given: 5M + 2B = 4 * (1M + 1B) => 5M + 2B = 4M + 4B => 1M = 2B => M / B = 2 / 1. The ratio of efficiency of a man to a boy is 2 : 1.

This question belongs to: Maths Time and Work