SSC Selection Post 2019 PYQ — Question 74

SSC Selection Post - Matriculation Level 2019 - 17 Jan 2019 - Shift 1 • Quantitative Aptitude • Q74

Samarth can complete a work in 6 h. Soumik can complete same work in 8 h. How long should it take for both Samarth and Soumik working together but independently, to do the same work?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3. i.e.3373\frac{3}{7}

LCM of 6 & 8 = 24 units (total work)
Samarth efficiency = 24 ÷ 6 = 4 units/hr
Soumik efficiency = 24 ÷ 8 = 3 units/hr
Together = 4 + 3 = 7 units/hr
Time = 24 ÷ 7 = 3373\frac{3}{7}