Question
The Ship's speed in calm water exceeds that of the
current by 20%. After sailing downstream for 4 hours, it traveled upstream for 4 hours with an increased Ship speed of 15 km/h. The Ship covered a distance during downstream travel that is 175% greater than the distance it covered during upstream travel. Determine the original speed of the Ship when moving downstream.Solution
ATQ, Let the speed of the current be ‘a’ km/hr Therefore, speed of the Ship in still water = ‘1.2a’ km/hr Downstream distance travelled by the boat = (a + 1.2a) × 4 = 8.8a km Upstream distance covered by the boat = (1.2a + 15 – x) × 4 = (0.8a + 60) km According to the question, {(8.8a – 0.8a – 60)/(0.8a + 60)} = 1.75 Or, a = (165/6.6) = 25 km/hr Therefore, original downstream speed of the Ship = 2.2a = 55 km/hr
A boat covers 45 km downstream in 2 h and the same distance upstream in 10 h. Find the speed (in km/h) of the boat in still water.
If a man rows at the rate of 19 kmph in still water and his rate against the current is 7 kmph, then find the man’s speed with downstream.    ...
The speed of the stream is 10 km/h. Boat ‘A’ covers 180 km distance against the stream in 6 hours and boat ‘B’ covers 90 km distance against the...
A boat covers 36 km downstream in 2 hours, and it takes 3 hours to cover the same distance upstream. What is the speed of the current?
Speed of a boat in still water to speed of boat in upstream is 12: 11. If the boat can travel 260 km in downstream in 4 hours, then find the time taken ...
A motorboat in still water travels at a speed of 36 km/hr. It goes 64 km upstream in 2 hours. The time taken by it to cover the same distance down the s...
A man can row at a speed of 64 km/h in still water to a certain upstream point and back to the starting point in a river which flows at 8 km/h. Find his...
A man can row at 6 kmph in still water. If the velocity of current is 3 kmph and it takes him 8 hour to row to a place and come back, how far is the place?
Speed of a boat in still water is 3 times more than the speed of stream. If boat covers 135 km in downstream in 9 hours, then find the time taken by the...
A man rows to a place 42 km away and comes back to the starting point. If the speed of the stream is 2 km/hr and the speed of the boat in still water is...
Relevant for Exams:
