The ratio of the speed of boat in still water to the speed of stream is 16 : 5. A boat goes 16.5 km in 45 minute upstream , find the time taken by boat to cover the distance of 17.5 km downstream .

The ratio of the speed of boat in still water to the speed of stream is 16 : 5. A boat goes 16.5 km in 45 minute upstream , find the time taken by boat to cover the distance of 17.5 km downstream . Correct Answer 25minutes

Correct Option: BLet the speed of boat in still water = 16x, speed of stream = 5xUpstream speed = 16x – 5x = 11x S = D t 11x = 16.5 × 60 45 x = 2speed of boat in still water = 32 km/h, speed of stream = 10 km/hDownstream speed = 32 + 10 = 42 km/h Distance = 17.5 km time = 17.5 42 = 5 hour 12 or 5 × 60 = 25 minutes 12 Hence, option B is correct.

Related Questions

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the speed of the stream. Statement I: The boat goes 360 km downstream and 420 km upstream in total 54 hours. Statement II: The boat takes 17 hours to cover a distance of 510 km downstream. Statement III: A boat goes thrice the distance downstream as it goes upstream in 1 hour.
In the following question, three statements are given. You have to find which is/are necessary and sufficient to answer the following question. Find the speed of the boat in still water. Statement I: The boat goes twice the distance downstream in the same time, as it goes upstream. Statement II: Speed of the boat in still water is three times the speed of the current. Statement III: The boat goes 840 meters in 1 hour 10 minutes downstream.