Question
A team of workers can finish a task in 36 days. However, 5
workers leave the task every day, and it gets done in 48 days. Find the time needed for 90 workers to complete the task working together.Solution
ATQ,
Let the number of workers be 'W' and each has efficiency 'e' units/day.
Total work = W × 36 × e = 36We units.
ATQ:
36We = W × e + (W - 5 × 1) × e + (W - 5 × 2) × e + .... + (W - 5 × 47) × e
Or,
36W = 48W - 5 × (1 + 2 + 3 + .... + 47)
⇒ 12W = 5 × 47 × (48/2)
⇒ W = (5 × 47 × 24) ÷ 12 = 470
Let the required time be T days for 90 workers.
So, 36 × 470 × e = 90 × T × e
⇒ T = (36 × 470) ÷ 90 = 188
Select the related word from the given alternatives.
Fish : Water :: Bird : ?
In the 4th century BCE, the capital of Magadha was shifted to _______.
1 dollar note with you when you are in India is a Fiat Money
Greenland Island is in which ocean?
Which two countries of Europe together are called 'Iberia'?
What is the Standard International Unit (SIU) of measurement of light (Illumination)?
RBI withdrew the requirement of incremental CRR after the demonetisation in 2016 by using following tool to absorb the excess liquidity in the system �...
1.     Allahbad bank has been recently brought under Prompt Corrective Action (PCA) framework by RBI. The headquarter of this bank is in:
...The Kailasanathar temple at Kanchipuram was built during the rule of:
First time in India's legislative Assembly history, union budget presented on 1st February ___________ ahead of usual date in the past.
Relevant for Exams:
