Question
The ratio of the distances traveled by a boat in
upstream and downstream is 6:7, respectively, and the total time taken to cover the desired distance is 73 hours. Given that the speed of the current is 40 km/h, which is 8 km/h less than the speed of the boat in still water, determine the distance traveled by the boat upstream.Solution
ATQ, Let the distance covered by the boat in upstream be ‘6a’ km and the distance covered by boat in downstream be ‘7a’ km. Speed of the boat in still water = 40 + 8 = 48 km/h According to question, {(6a/(48 – 40)} + {7a/(48 + 40)} = 73 Or, (6a/8) + (7a/88) = 73 Or, (73a/88) = 73 Or, a = 88 Distance travelled by the boat in upstream = 6a = 528 km
Find remainder when 7¹³ is divided by 100.
Sum of squares of three consecutive numbers is 770. Find the sum of first and third number.
- Find the greatest value of the expression (p + q), if the number ‘2p618q0’ is divisible by 12.
The sum of two numbers is 30 while the difference between these two numbers is 6. What is 50% of the product of the two numbers?
- The coefficient of 'x 2 ' and 'x' in the expression (Ax + 5) (3 - 2x) are same, where 'A' is a positive integer. (A + 10) is how much percent of...
- Find the median of the following observations:
25, 30, 15, 40, 20, 35, 50 If the number 985212m8 is completely divisible by 11, then the smallest whole number in place of ‘m’ would be:
A number increases by 30 when 60% of it is added to itself. What is the final value after addition?
Find the least 4-digit number which, when divided by 18, 30, and 45, leaves a remainder of 2 in each case.
Relevant for Exams:
