Ram and Naresh can complete a work together in 20 days and Naresh and Shyam together in 15 days. All three together can complete the work in 12 days. In how many days can Ram and Shyam together complete the work?
20
Let the rate of work of Ram be R, Naresh be N, and Shyam be S. R + N = 1/20 (work per day) N + S = 1/15 R + N + S = 1/12 Substituting (R + N) in the third equation: 1/20 + S = 1/12 S = 1/12 - 1/20 = (5 - 3)/60 = 2/60 = 1/30 Now, substitute (N + S) in the third equation: R + 1/15 = 1/12 R = 1/12 - 1/15 = (5 - 4)/60 = 1/60 Ram and Shyam together: R + S = 1/60 + 1/30 = (1 + 2)/60 = 3/60 = 1/20 Therefore, Ram and Shyam together will complete the work in 20 days.
Important Questions from Time and work
In a circular race on a track of length 2000 m, X and Y start from the same point at the same time in opposite directions at the speeds of 15 km/h and 33 km/h, respectively. After how much time will they meet next?
Which of the following option figures will complete the pattern in the figure given below?
A has completed two-third of a job in 8 days, and B completes the rest of the job in 20 days. In how many days can they together complete the job?
The smallest 4-digit prime number is:
If Anand can do a piece of work in 9 days and Vinod can complete the same work in 6 days, then in how many days will both of them complete it together?
