N can do a piece of work in 80 days. He works at it for 10 days and then M alone finishes the remaining work in 42 days. In how much time will N and M, working together, finish the work?
A 24 days
B 30 days
C 36 days
D 20 days
Solution
Correct Answer: Option B
এখানে ,N,80 দিনে করে =1 অংশ
N,10 " " =10/80 =1/8 অংশ
বাকি =1-1/8=7/8 অংশ
M,7/8 অংশ করে 42 দিনে
অতএব, 1 " "(42× 8)/7=48 দিনে
অতএব,M ও N একত্রে কাজটি করে (48×80)/(48+80)
=(48×80)/128
=30 দিন