Question
'X' can complete 75% of a work in 15 days, whereas 'Y' can
complete 25% of the same work in 10 days. They both started working together, but 'Y' left the job 'n' days before the work finished. If the entire work is completed in 14 days, then find the value of [0.6n + (n²/5)].Solution
ATQ,
Time taken by 'X' to complete the entire work = (15/75) × 100 = 20 days
Time taken by 'Y' to complete the entire work = (10/25) × 100 = 40 days
Let the total work be 40 units (LCM of 20 and 40)
Efficiency of 'X' = 40/20 = 2 units/day
Efficiency of 'Y' = 40/40 = 1 unit/day
ATQ:
(2 × 14) + [1 × (14 - n)] = 40
28 + (14 - n) = 40
42 - n = 40
n = 2
Required value = 0.6n + (n²/5) = (0.6 × 2) + {(2 × 2)/5} = 1.2 + 0.8 = 2
On each occasion, they had agreed to uneasy power-sharing arrangements with the army, only for the army to subsequently engineer their unceremonious do...
Directions : In the following question, three sentences are given, and in each sentence, a word is highlighted which is incorrect and needs to be repla...
- In each of the questions given below, four words are given in bold. These four words may or may not be in their correct position. The sentence is then foll...
In the following sentences four words are given in bold. They may or may not be in the correct position in the sentence. You have to find out which two...
In the given sentences, five words are in bold and numbered from A to E, which are the possible pairs to be interchanged. Choose the pair(s) of words th...
Directions : In each of the questions given below, four words are given in bold. These four words may or may not be in their correct position. The sent...
- Direction: In each of the questions given below, four words are given in bold. These four words may or may not be in their correct position. The sentence i...
In each of the following questions, a sentence is given with four words given in bold. Which of the following words should replace each other to form ...
Which of the following phrases (I), (II), and (III) given below each sentence should replace the phrase printed in bold letters to make the sentence gra...
In the following question, a sentence is given with a phrase highlighted in bold. Find out the phrase, among the phrases (a, b, c, d) given below each s...
