Question
Train ‘A’ running with a speed of 81 km/hr can cross
a standing goods train of 4 times its length in 24 seconds. Find the time taken by 200 metres long train ‘B’ which is coming from opposite direction of train ‘A’, with a speed of 20 m/s, to cross train ‘A’.Solution
Let the length of train ‘A’ be ‘x’ metres Therefore, length of the goods train = ‘4x’ metres Speed of train ‘A’ = 81 × (5/18) = 22.5 m/s According to the question, 4x + x = 22.5 × 24 => 5x = 540 => x = 108 Therefore, time taken by train ‘B’ to cross train ‘A’ = {(108 + 200)/(24 + 20)} = 7 seconds
Sum of three positive numbers is 126. If the ratio of the first and second number is 4:5, respectively while difference between the first and third num...
Three natural numbers X,Y,Z are pairwise co-prime and satisfy the following conditions, the least common multiple (LCM) of X and ...
Find the sum of all natural numbers less than 500 which are divisible by 7.
Sahil can make a toy in 3 hrs, 25 minutes and 13 seconds. How much time he will take to make 8 such toys?
Find the smallest 4-digit number which is exactly divisible by 6, 9 and 15.
- Calculate the largest 5-digit number which is divisible by ‘64’
What is the average of all the prime numbers which are less than 35?
'M' is the largest three-digit number that leaves 3 as a remainder when divided by 9, 12 and 5, Find the sum of digits of 'M'.
The square of the sum of two numbers is 784. The sum of squares of these numbers is 520. Find their product.
