Question
Train M crosses a platform in 60 seconds and overtakes a
man running in the opposite direction at 12 km/h in 30 seconds. Train N passes Train M, which is moving in the same direction, in 158.4 seconds, and the ratio of the length of Train N to the length of the platform is 9:5. If Train M's speed is 60 km/h and Train N moves faster than Train M, what is the difference in time taken for Train N to cross the same platform and for Train M to cross Train N moving in the opposite direction?Solution
Length of train M = x Length of train N = y Speed of train M = 60 kmph Length of platform = a Speed of train N = z x + a = 60 * 5/18 * 60 x + a = 1000 x = (60 + 12) * 5/18 * 30 x = 600 m Length of platform = 1000 – 600 = 400 m Length of train N = 400 * 9/5 = 720 m 720 + 600 = (z – 60) * 5/18 * 158.4 z – 60 = 30 z = 90 kmph Time taken by train N crosses a platform = (400 + 720)/ (90 * 5/18) = 44.8 seconds Time taken by train M crosses train N = (720 + 600)/ ((90 + 60) * 5/18) = 31.68 seconds Required difference = 44.8 – 31.68 = 13.12 seconds
The average of 18 numbers is 75. The average of the first nine numbers and the last six numbers is 62.5 and 82.5, respectively. T...
Akshay bought 25 notebooks for Rs.1260 from shop A and 13 notebooks for Rs.1210 from shop B. What is the average price he paid per book?
The average of first five multiples of 3 is
The average age of husband, wife and their child 4 years ago was 26 years and that of wife and the child 5 years ago was 25 years. The present age of th...
There are ‘x’ students in a class. Out of them ‘y’ are girls. The number of boys is 4 more than the number of girls. The sum of weight and the a...
Average of A, B and C is 30 and that of C, D and E is 19. The average of A and E is 23 and that of B and E is 24. Find the value ...
A park has an average of 140 visitors on Sundays and 80 on other day. The average number of visitors in a month of 30 days starting with Sunday is
Average marks scored by each boy in a class were 85, whereas that by each girl were 95. If the number of boys is 50% more than the number of girls, then...
15 years ago, the average age of all the 80 teachers of the college was 50 years. 8 years ago, the principal has retired from her post at the age of 60 ...
The average of 30 numbers is 55. The average of the first 15 numbers is 50 and the average of the last 12 numbers is 55. What is the average of 68, 74 a...
