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
Total work = Efficiency × Time
Mohan works 50% faster than Ram
Ratio of efficiency of Mohan and Ram = 3 : 2
Ratio of time of Mohan and Ram = 2 : 3
According to question,
3R = 15 days
1R = 5days
2R = 2 × 5 = 10Days
Let us consider , total work = 30 ( LCM of 10 & 15 )
Time taken by Mohan and Ram to complete the work together = \(\frac{Work}{Efficiency}\)
= \(\frac{30}{ 3 + 2 }\)
= \(\frac{30}{ 5 }\)
= 6 days
The correct answer is Option (2) → 6