Question
A train covers a distance between stations Dehradun to
Rudrapur in 90minutes. If the speed is reduced by 10 km/hr, it will cover the same distance in 96 minutes. What is the distance between the two stations (in km)? Also find the speed of train?Solution
Suppose the distance is x km and Speed of the train is y km/hr Thus, we have two relations: x/y = 90/60 x = 3/2 y …………(i) x/(y-10) = 96/60 x/(y-10) = 8/5 ………….(ii) From (i) and (ii), 3/2 y = 8/5 (y – 10) 3/2 y - 8/5 y = - 16 (15y - 16y)/10 = - 16 (-y)/10= -16 y = 160 Therefore, speed = 160 km/hr and Distance, x = 3/2 y = 3/2× 160 = 240 km
- The boat's downstream and upstream speeds are 24 km/hr and 16 km/hr respectively. If the time taken to cover a distance of (x + y) km upstream with stream ...
A boat takes 20 hours to go 200 km upstream. If the boat doubles its speed, it can cover 200 km downstream in 4 hours. Find the speed of the stream.
The ratio of the speed of boat in upstream to speed of boat in downstream is 7:9. If the boat can cover a total of 70 km upstream and 90 km downstream i...
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...
The time taken by a boat to travel 'd' kilometers downstream is 8 hours, while the time taken to travel (d - 60) kilometers upstr...
A man can row at 6 kmph in still water. If the velocity of current is 4 kmph and it takes him 6 hour to row to a place and come back, how far is the place?
A Passenger boat started its journey from point A to B .After sometime when it is 156 km away from point B it is started to get sinking and passengers...
A man can row at 4 kmph in still water. If the velocity of current is 2 kmph and it takes him 5 hour to row to a place and come back, how far is the place?
If Boat goes 80 km upstream in 4 hours and 60 km downstream in 2 hours, then the speed of the boat in still water is
A man can go on a motor boat with a speed of 15 km/hour in still water, he goes to a certain distance upstream and come back to the starting point in a ...
Relevant for Exams:
