Question
A boat travels 150 km downstream in 6 hours. The
difference between its downstream speed and upstream speed is 3 km/h. What is the ratio of the boat's speed in still water to the speed of the stream?Solution
ATQ;
Downstream speed = 150 ÷ 6 = 25 km/h
Let boat speed in still water = b, stream speed = s
Downstream = b + s = 25
Upstream = b – s
Difference between downstream and upstream = (b + s) – (b – s) = 2s = 3
Hence s = 1.5
Then b = 25 – s = 23.5
Required ratio = 23.5 : 1.5 = 47 : 3
Determine the smallest possible value of 'P' that makes the eight-digit number '4423P456' fully divisible by 3.
A = (9/4) × B and C = (1/12) × A. If (A + B + C) = 300, then find the value of (12C – B).
Find the value of 'a' in the given data if the mean of the given data is 27.
20, 25, 30, 28, 26, 24, a, 29, 22, 23
There are balls of three colours: blue, green, and white. The number of green balls is 8 more than the average number of balls of each colour. The numbe...
A farmer has 1457 cows and 3055 buffaloes. He wants to graze them in minimum number of groups in such a way that each group has only one type of animal ...
- What is the sum of digits of the maximum 3-digit number that leaves 5 as remainder when divided by 10, 15, and 12?
a, b and c are three integers. The sum of a and b is 61. If b is divided by a then the quotient is 2 and the remainder is 7. If cn - 2 is lar...
Which pair of these numbers is cop rime?
Find the sum of all natural numbers less than 1,000 that are divisible by both 3 and 5 but not by 7.
- 35% of 45% of 640 = z + 20.2, what is the sum of the squares of the digits in ‘z’?
