A boat goes downstream and covers the distance between two ports in 96 minutes, while it covers the same distance in upstream in 120 minutes. If the speed of stream is 1km/hr, Find the speed of boat in still water?

Open in App

Solution

Let speed of boat be X kmph.
down stream- in 96 minute boat will travel 96/60(X+1)km
upstream -in 120 min boat will travel 120/60(X-1)km
As per question 96/60(X+1)=120/60(X-1)
⇒96 X+96=120X-120
⇒ 24X= 216
X=9
Speed of boat 9 kmph

Suggest Corrections

Similar questions

Q. 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.

Q. A boat goes downstream and covers the distance between two ports in

4

hrs while it covers the same distance upstream in

5

hrs. If the speed of the stream is

2

kmph, the speed ofthe boat instill water is

A steamer goes downstream from one point to another in $9$ hours. It covers the same distance upstream in $10$ hours. If the speed of the stream be $1$ km/hr, find the speed of the steamer in still water and the distance between the ports.

Question 107

Solve the following

A steamer goes downstream and covers the distance between two ports in 5 hours, while it covers the same distance upstream in 6 hours. If the speed of the stream is 1km/h, then find the speed of the steamer in still water.

Q. A motorboat goes downstream and covers a distance in 4 hours while it covers the same distance upstream in 5 hours. If the speed of the stream is 3 km/hrs, find the speed of the motor boat in still water.

Join BYJU'S Learning Program

A boat goes downstream and covers the distance between two ports in 96 minutes, while it covers the same distance in upstream in 120 minutes. If the speed of stream is 1km/hr, Find the speed of boat in still water?

Let speed of boat be X kmph. down stream- in 96 minute boat will travel 96/60(X+1)km upstream -in 120 min boat will travel 120/60(X-1)km As per question 96/60(X+1)=120/60(X-1) ⇒96 X+96=120X-120 ⇒ 24X= 216 X=9 Speed of boat 9 kmph

Let speed of boat be X kmph.
down stream- in 96 minute boat will travel 96/60(X+1)km
upstream -in 120 min boat will travel 120/60(X-1)km
As per question 96/60(X+1)=120/60(X-1)
⇒96 X+96=120X-120
⇒ 24X= 216
X=9
Speed of boat 9 kmph