Advertisement Remove all ads

A motor boat whose speed is 24 km/h in still water takes 1 hour more to go 32 km upstream than to return downstream to the same spot. Find the speed of the stream. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

A motor boat whose speed is 24 km/h in still water takes 1 hour more to go 32 km upstream than to return downstream to the same spot. Find the speed of the stream.

Advertisement Remove all ads

Solution

Let the speed of the stream be s km/h.

Speed of the motor boat 24 km / h

Speed of the motor boat upstream 24 s

Speed of the motor boat downstream 24 s

According to the given condition

`32/(24-s)-32/(24+s)=1`

∴ `32(1/(24-s)-1/(24+s))=1`

∴ `32((24+s-24+s)/(576-s^2))=1`

∴ 32 x 2s = 576 - s2

∴ s2 + 64s-576 = 0

∴ (s+72)(s-8) = 0

∴  s = -72 or s = 8

Since, speed of the stream cannot be negative, the speed of the stream is 8 km / h.

Concept: Pair of Linear Equations in Two Variables
  Is there an error in this question or solution?

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×