CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A steamer going downstream in a river, covers the distance between 2 towns in 15 hours. Coming back upstream, it covers this distance in 20 hours. The speed of the water is 3 km/hr. Find the distance between two towns.

A
360 km
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
220 km
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
180 km
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
120 km
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 360 km
Let the speed of the stream be x km/h.
Given, speed of water =3 km/h
Therefore, downstream speed =(x+3) km/h
and upstream speed =(x3)
km/h
Again, time taken in downstream and upstream is 15 hours and 20 hours respectively.
Now, distance downstream = distance upstream
15(x+3)=20(x3)
15x+45=20x60
15x20x=6045
5x=105 or x=21 km/h
Therefore, downstream speed =21+3=24 km/h
So, distance between the two towns = Downstream speed × Time taken in downstream
=24×15=360 km

flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relative Motion
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon