arrow
arrow
arrow
A alone can do a work in 30 days, B alone in 40 days. They start together, but A leaves 5 days before the completion. Total work is completed in 18 da
Question

A alone can do a work in 30 days, B alone in 40 days. They start together, but A leaves 5 days before the completion. Total work is completed in 18 days. In how many days did A work?

A.

13 days

B.

14 days

C.

15 days

D.

16.5 days

Correct option is A

Given
Time taken by A alone = 30 days
Time taken by B alone = 40 days
Total time taken to complete the work = 18 days
A leaves 5 days before the work is completed.
Solution
The problem explicitly states that the entire work was completed in 18 days.
It also states that A left 5 days before the completion of the work.
Therefore, the number of days A worked is:
Days A worked = 18 - 5 = 13 days.

Final Answer
So the correct answer is (a)

Free Tests

Free
Must Attempt

SSC GD Constable Exam Day Based Mock 1

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

SSC GD PYP (Held on 4 Feb 2025 S1)

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

Mathematics Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon25 Mins
languageIcon English

Similar Questions

test-prime-package

Access ‘SSC Selection Post (Matriculation)’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
415k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow