Question

In: Math

A grain barge travels on a river from point A to point B loading and unloading...

A grain barge travels on a river from point A to point B loading and unloading grain. The barge travels at a rate of 11mph relative to the water. The river flows downstream at a rate of 1 mph. If the trip upstream takes 2 hours longer than the trip downstream, how far is it from point A to point B?

Expert Solution

Given that,

A grain barge travels on a river from point A to point B loading and unloading grain.

The barge travels at a rate of 11mph relative to the water.

The river flows downstream at a rate of 1 mph

Barge speed = 11 mph

River speed = 1 mph

The trip upstream takes 2 hours longer than the trip downstream

Downstream:

Let the time taken in downstream be 'x' hrs

Time : x hrs

Rate : 11+1 ( Barge speed + River speed ) = 12 mph ( In downstream, rate are added )

Upstream :

Time : x+2 hrs

Rate : 11-1 mph = 10 mph ( Barge speed - River speed)

Since the distances for both downstream and the upstream are equal

Upstream Distance = Downstream Distance

miles

Therefore,

The distance from point A to point B is 10 miles

milcah answered 1 year ago

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