Question
"A boat covers 66 km upstream and
98 km downstream in a total of 9 hours. Determine the time required for the boat to travel 48 km upstream and 112 km downstream, given that the boat's downstream speed is 40% higher than its speed in still water."Solution
ATQ, Let, the speed of the boat in still water = 'p' km/h So, the downstream speed of the boat = 1.4p km/h Speed of the stream = 1.4p – p = 0.4p km/h Upstream speed of the boat = p – 0.4p = 0.6x km/h According to question: 66/0.6p + 98/1.4p = 9 110/p + 70/p = 9 p = 180/9, p = 20 So, the time taken by the boat to cover 48 km upstream and 112 km downstream = (48/12) + (112/28) = 4 + 4 = 8 hours
The area of rhombus is 270m² and one of its diagonal is 18 m. Find the length of another diagonal.
In a 1000 metres race, 'P' beats 'Q' by 150 metres, while 'Q' beats 'R' by 100 metres. Find the distance by which 'P' beats 'R' i...
Person 'X' can complete a task in 30 days when working at full efficiency, while person 'Y' can finish the same task in 50 days at full efficiency. If '...
A and B together can complete a work in 12 days. B alone can complete the same work in 30 days. In how many days will A alone complete the work?
The sum of the ages of a mother and her daughter is 50 years. Four years ago, the mother was five times as old as her daughter. What are their current a...
A merchant has two types of sugar. Type A costs 50 per kg, and Type B costs 70 per kg. In what ratio should the two types be mixed to get a mixture that...
Pipe X can fill a tank on its own in 12 hours, while Pipe Y can fill the same tank individually in 20 hours. Both pipes X and Y o...
A trapezoid has bases of lengths 10 cm and 20 cm and an area of 180 cm². Find the height of the trapezoid.
The sum of the ages of A and B is 50 years. If A is 10 years older than B, what are their ages?
