0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

# Rohit can row downstream 32 km in 4 hours and 4km upstream in an hour. Find his speed of rowing in still water and speed of the current.

A

6 km/hr, 2 km/hr

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

4 km/hr, 4 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

20 km/hr, 4 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

4 km/hr, 2 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A 6 km/hr, 2 km/hr Let speed of Rohit rowing in still water be x km/hr and speed of current be y km/hr. Then, Speed downstream = (x + y) km/hr Speed upstream = (x - y) km/hr We know that, Time=DistanceSpeed 4=32x+y and 1=4x−y ⇒ x+y=8 ⋯(1) ⇒x−y=4 ⋯(2) On adding (1) and (2), we get 2x=12 ⇒x=6 On substituiting x=6 in (1), we get 6+y=8 ⇒y=2 ∴ The rowing speed in still water is 6 km/hr and the speed of current is 2 km/hr.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Algebraic Solution
MATHEMATICS
Watch in App
Join BYJU'S Learning Program