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

A boat goes downstream and covers the distance between two ports in 4 hours, while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 km/hr, find the speed ofboat in still water.

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

The correct option is B 18 km/hr
Let the distance between two port be x km.
And speed of boat in still water be S km/hr.

According to question,
In downstream,
x=(S+2)x4 ........(1) as, (Distance= Speed x Time)

Similarly,
In upstream,
x=(S2)x5 ........(2)

From (1) & (2),

(S+2)4=(S2)5

=> 4S+8=5S10

=> S=18 km/hr.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Multinomial Theorem
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon