arrow
arrow
arrow
A and B working together can complete a piece of work in 2 days. B alone can complete the same work in 10 days. How long (in days) will A alone take t
Question

A and B working together can complete a piece of work in 2 days. B alone can complete the same work in 10 days. How long (in days) will A alone take to complete double the work?

A.

8

B.

5

C.

2.5

D.

6

Correct option is B

Given
Time taken by (A + B) together = 2 days
Time taken by B alone = 10 days
Formula Used
Work Done = Efficiency × Time
Efficiency of A = Combined Efficiency - Efficiency of B
Solution
Let the total work be the LCM of 2 and 10, which is 10 units.
Combined efficiency of A and B = 102=5 \frac{10}{2} = 5​ units/day
Efficiency of B alone  =1010=1= \frac{10}{10} = 1​ unit/day
Efficiency of A alone = 5 - 1 = 4 units/day
Total amount of work to be completed by A = Double the original work = 10 × 2 = 20 units
Time taken by A to complete double the work = 204 \frac{20}{4}​​
Time taken = 5 days
Final Answer
So the correct answer is (b)

Free Tests

Free
Must Attempt

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB Group D Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English

Similar Questions

test-prime-package

Access ‘RRB Group D’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
564k+ students have already unlocked exclusive benefits with Test Prime!

Similar Questions

Our Plans
Monthsup-arrow