Question
'X', 'Y', and 'Z' can complete a job individually in 20
days, 30 days, and 24 days respectively. 'Y' and 'Z' begin the task together. After 6 days, 'Z' leaves and 'X' joins 'Y' to finish the job. Determine the total number of days required to complete the task.Solution
ATQ,
Let the total work be 120 units (LCM of 20, 30, and 24)
Efficiency of 'X' = 120 ÷ 20 = 6 units/day
Efficiency of 'Y' = 120 ÷ 30 = 4 units/day
Efficiency of 'Z' = 120 ÷ 24 = 5 units/day
Let the total time taken be T days.
So, (4 + 5) × 6 + (6 + 4) × (T − 6) = 120
⇒ 54 + 10(T − 6) = 120
⇒ 54 + 10T − 60 = 120
⇒ 10T = 126
⇒ T = 12.6 days
Good people will make good laws (a) / but good laws passed by a few does not (b) / necessarily make a good society (c) / No Error (d)
- Read each sentence to find out whether there is any grammatical error in it. The error, if any, will be in one part of the sentence. Mark the part with the...
Under Flick’s leadership, the Blaugrana (1)/ have shown signs of revitalisation (2)/ and seem poising to mount a serious (3)/ challenge to Real’...
There was a spurt in Kerala, with 28 new cases reported — the largest in any Indian state in a single day.
Attorney-generals from 16 states condemned the ban yesterday and were discussing whether to challenge the administration in court.
The brilliant administrator was destined for the post of Assistant Commissioner; there was no one to challenge his caliber.
After the ache in the neck from grazing upwards at these alluring frescoes, we sat down for a while, rubbing our necks, in the splendid dance hall with ...
Directions: In each of the questions, a sentence has been divided into four parts, one of which may contain an error. Identify that fragment and mark i...
In the following question, a sentence is given, divided into four parts (A), (B), (C) and (D). The error, if any, will only be in TWO PHRASES/PARTS of t...
According to the captain, his small fishing boat can hauling a huge amount of cargo.
Relevant for Exams:
