1. Ajay does half as much work as Devgan in three-fourth of the time. If Ajay and Devgan take 18 days together to complete the work, how much time shall Devgan take to do it ?
A. 30 days
B. 35 days
C. 40 days
D. None of these
2. Sachin,Rahul and Laxman are batting simultaneously can score 216 runs in 4 hours. In one hour, Laxman can score as many runs more than Rahul as Rahul can score more than Sachin. During a period of five hours, Laxman can score as many runs as Sachin can during seven hours. How many runs does each of them score per hour?
3. Aman can do a job in 15 days. His sister takes 20 days and brother finishes it is 25 days. How long will it take to complete the job if they work together?
A. Less than 6 days
B. Exactly 6 days
C. Approximately 6.4 days
D. More than 10 days
Ajay’s work is 2X(3/4x) = 2x/2 days So, 1/x + 2/x – 1/18x = 30
Let the number of runs scored in one hour by Sachin, Rahul and Laxman be x, y and z respectively.
x+y+z = 216/4 which is 54
Then z-y = y-x which will be 2y = x+2
and 5z = 7x so x=(5/7)z
so when you solve the above 3 statements you get x = 15, y = 18 and z = 21 hence then answer C
1 day’s work of all 3 combined is [(1/15)+(1/20)+(1/25)] = 47/300
So if all were to work together, it comes to 300/47 (Total) 6.4 days