arrow
arrow
arrow
M and N together can complete a work in 40 days. M is 50 percent more efficient than N. M alone can complete the same work in how many days?
Question

M and N together can complete a work in 40 days. M is 50 percent more efficient than N. M alone can complete the same work in how many days?

A.

21011\frac{210}{11}​ days

B.

1007\frac{100}{7}​ days

C.

1009\frac{100}{9}​days

D.

2003\frac{200}{3}​days

Correct option is D

Given:

M and N together can complete the work in 40 days
M is 50% more efficient than N
Work = 1 unit
Formula Used:
Work = Efficiency × Time
Solution:
If M is 50% more efficient than N, then
Efficiency of M : Efficiency of N = 3 : 2
Together efficiency of M and N = 3 + 2 = 5 units
Time taken together = 40 days
Total work = 40 × 5 = 200 units
M’s efficiency = 3 units per day
So,
Time taken by M alone=Total WorkM’s Efficiency=2003days\text{Time taken by M alone} = \frac{\text{Total Work}}{\text{M's Efficiency}} = \frac{200}{3} \text{days}​​

Free Tests

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

Hindi Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon12 Mins
languageIcon English
Free
Must Attempt

SSC GD Constable Full Mock Test 1

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English

Similar Questions

test-prime-package

Access ‘SSC GD’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow