Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

A boat goes 20 km upstream and 30 km downstream in 5 hours each time. What is the speed of that of boat in still water and the speed of the current ?

Options:

speed of boat in still water is 3 km/h and speed of current is 2 km/hr

speed of boat in still water is 3 km/h and speed of current is 1 km/hr

speed of boat in still water is 5 km/h and speed of current is 1 km/hr

speed of boat in still water is 4 km/h and speed of current is 2 km/hr

Correct Answer:

speed of boat in still water is 5 km/h and speed of current is 1 km/hr

Explanation:

The correct answer is option (3) : speed of boat in still water is 5 km/h and speed of current is 1 km/h

Let the speed of boat in still water be x km/h and speed of current be y km/hr.

Downstream speed $= x+ y = \frac{30}{5}= 6\, km/hr$

Upstream speed $= x- y = \frac{20}{5}= 4\, km/hr $

Solving both eq simultaneously

we get $x=5, y= 1$

So, speed of boat in still water is 5 km/h and speed of current is 1 km/h