All Exams Test series for 1 year @ ₹349 only
Question

A boat covers 4 km upstream and 15 km downstream in 7 hours, while it covers 16 km upstream and 35 km downstream in 23 hours. What is the speed of the current?

The correct answer is

2 km/hr

Let the speed of the boat be B km/hr and the speed of the current be C km/hr. - Upstream speed = (B - C) km/hr and downstream speed = (B + C) km/hr. - From the given data: (4/(B - C)) + (15/(B + C)) = 7 and (16/(B - C)) + (35/(B + C)) = 23. Solving these equations, we find that the speed of the current (C) is 2 km/hr.

Was this answer helpful?

Important Questions from Boat and River

  1. The speed of a ship in still water is 5 km/hr and the speed of the stream is 2 km/hr. Rohan rows to place at a distance of 21 km and comes back to the starting point. The total time taken by him is:

  2. The speed of a boat in still water is 9 km/hr and the speed of stream is 3 km/hr. The difference between the upstream speed and downstream speed will be:

  3. A boat can go 10 km upstream and 11 km downstream in a total time of 52 minutes, If the speed of the stream is 5 km/h, then what is the speed (in km/h) of the boat when going downstream?

  4. The upstream speed of the boat is 40 km/hr and the speed of the boat in still water is 55 km/hr. What is the downstream speed of the boat?

    A. 75 km/hr

    B. 70 km/hr

    C. 60 km/hr

    D. 65 km/hr
  5. A boat moving upstream takes 8 hours 48 minutes to cover a distance while it takes 4 hours to return to the starting point, downstream. What is the ratio of the speed of boat in still water to that of water current?

Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App