Question
Time taken by a boat to cover 253 km upstream is 49.99 %
more than the time taken by the boat to cover 340 km downstream. Total time taken in covering both these distances was 5 hours 42 seconds. Find the approximate distance covered in upstream in 3 hrs 10 sec.Solution
Let the speed of boat and stream be x km/hr and y km/hr respectively. Speed in upstream = (x – y) km/hr Speed in downstream = (x + y) km/hr ATQ: => 253/(x – y) = 3/2 × 340/(x + y) => {253/(x – y)}/{340/(x + y)} = 3/2 [ratio of time taken] Now, given that the total time taken to cover the distance is 5 hrs 42 sec or 5 hrs approx. So, 253/(x – y) = 3 and 340/(x + y) = 2 x - y = 84-----(i) x + y = 170-----(ii) solving equation (i) and (ii) we get, x = 127 y = 43 Therefore, approximate distance covered in upstream in 3 hrs 10 sec = (127 – 43) × 3 = 252 km
The sum of three consecutive odd natural numbers each divisible by 3 is 81. Which number is the largest number among the three numbers?
What is the ratio of the sum of the squares of the first 8 natural numbers to the sum of the first 12 odd natural numbers?
- A room contains three shelves: the 1st, 2nd, and 3rd. The number of books on the 1st and 2nd shelves are in the ratio of 6:11, while the number of books on...
- Instead of multiplying a number by 0.9, a student accidentally used 9. His result turned out to be 3510 more than the actual result. What is the original n...
Two numbers P and Q are in the respective ratio 7: 9 and their sum is 80. Then, P is equal to:
The sum of the digits of a two-digit number is 9. If 27 is subtracted from the number, its digits switch their places. What is the number?
The value of √(56+√(56 +√(56+ √(56+√56+ ................ )) )) is
Aman is forming pairs of two natural numbers, A and B, such that their product equals 350. He wants to determine how many such pairs exist where A and B...
Find the maximum value of (x + y) if 7x52y4 is divisible by 12.
