Question
A boat can cover 66 km upstream and 165 km downstream in
13 hours. Speed of the stream is how much less than the speed of the boat in still water if the boat can cover 55 km upstream and 110 km downstream in 9 hours?Solution
ATQ, Let the upstream speed and downstream speed of the boat be x km/h and y km/h, respectively. So according to question: 66/x + 165/y = 13 ………………. (i) Also, 55/x + 110/y = 9 ……….. (ii) Solving (i) and (ii), we get x = 11 and y = 22 So, the upstream speed and downstream speed of the boat are 11 km/h and 22 km/h, respectively. Speed of the boat in still water = (11 + 22)/2 = 16.5 km/h Speed of the stream = (22 – 11)/2 = 5.5 km/h So, the desired difference = 16.5 – 5.5 = 11 km/h
If the first term is 125 and the common ratio is 2/5, then what will be the fourth term of the geometric progression (GP)?
Suppose, (√(5a+9) )+ (√(5a-9)) = 3(2+√2), then √(10a+9) will be equal to?
The sum of three consecutive odd natural numbers each divisible by 3 is 81. Which number is the largest number among the three numbers?
Which number must be multiplied with 2352 to transform it into a perfect square?
Which of the provided numbers will always divide (1633x - 2523x)?
Sum of two digits of a two digit number is 11. When digits of the number are reversed then number formed is 45 more than the original number. Find the ...
A positive number becomes 9 times its reciprocal when 3 is added to it. Find this number.
Divisor is 7 times of Quotient and 3 times of its remainder. If the remainder is 7. Find the dividend?
When a number is reduced by 25%, the resulting value is 36 more than 60% of the number's initial value. What is the original number?
- The sum of two numbers is 801. When the larger number is divided by the smaller one, it results in a quotient of 41 with a remainder of 3. What is the diff...
Relevant for Exams:
