Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Boats and Streams

Question:

A person rows upstream a distance of 55 km in 5 hours and rows downstream a distance of 75 km in 3 hours. How much time will he take to row a distance of 96 km in still water?

Options:

4 hours 40 minutes

5 hours 20 minutes

6 hours 10 minutes

5 hours 45 minutes

Correct Answer:

5 hours 20 minutes

Explanation:

Let the speed of boat and current be x and y.

= x - y = \(\frac{55}{5}\) = 11 km/hr

= x + y = \(\frac{75}{3}\) = 25 km/hr

= 2x = 36 km/hr

= x = 18 km/hr

Time = \(\frac{96}{18}\)= 5 hours 20 minutes