Question
If AB = x + 3, BC = 2x and AC = 4x − 5, then for what
value of ‘x’ does B lie on AC?Solution
To find the value of 'x' such that point B lies on line AC, the sum of the lengths AB and BC must equal the length of AC. Given: 
For B to lie on AC, we have the equation:
AB+BC = AC Substitute the given expressions: (x+3)+2x = 4x − 5 Simplify: 3x+3 = 4x − 5 Subtract 3x from both sides = 3 = x − 5 Add 5 to both sides = x = 8
The ratio of the speed of boat ‘A’ in still water, the speed of boat ‘B’ in still water and the speed of the current is 11:5:2, respectively. If...
A man row a boat 1 km in 5 min, along the stream and 6 km in 1hrs against the stream, The speed of the stream will be
A boat can travel 12 km more in downstream than that in upstream, in 3 hours while the difference between the time taken by the same boat to travel 180 ...
A boat can cover 60 km in still water and 75 km in downstream in 4 hours and 3 hours respectively. Find the time taken by the boat to cover 60 km upstre...
"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 k...
A boat sails 150 km in downstream direction in 5 hours. If the upstream speed is one-third of its downstream speed, calculate the time it will take to c...
The speed of a boat in still water is 45 km/hr, and the speed of the stream is 5 km/hr. The boat takes 30 minutes longer to cover a distance of x km ups...
The time taken by a boat to travel a certain distance downstream is in the ratio 4:5 compared to the time taken to travel the sam...
Speed of a boat in still water is three times the speed of the boat in upstream. If the boat takes 40 minutes to cover 15 km in downstream, then find th...
A boat takes 34 hours to travel from P to Q upstream and from Q to P downstream. If the speed of the boat in still water is 8.5 km/h and the speed of th...
Relevant for Exams:
