Ram can do a work in 15 days. If Mohan works 50% faster than Ram, then in how many days will they be able to do the work if they work together?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 6
Working 50% faster means doing 1.5 times as much work in a day, so Mohan needs \(\frac{1}{1.5}=\frac{2}{3}\) of Ram’s time. Working together, their day’s work adds up.
Mohan alone: \(15\times\frac{2}{3}=10\) days
Work done together in a day: \(\frac{1}{15}+\frac{1}{10}=\frac{2+3}{30}=\frac{1}{6}\)
Time together: 6 days