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Malcolm's boat moves at 10 miles per hour in still water.

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Malcolm's boat moves at 10 miles per hour in still water.  [#permalink]

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New post 12 Jan 2018, 12:25
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Difficulty:

  25% (medium)

Question Stats:

72% (01:25) correct 28% (01:17) wrong based on 60 sessions

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Malcolm's boat moves at 10 miles per hour in still water. He boats for 4 hours down the stream and then for 4 hours up the stream. If the speed of the water current is 6 miles per hour, how far is he from the starting point?

A. 16 miles
B. 24 miles
C. 32 miles
D. 40 miles
E. 48 miles

Source: Experts Global

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Malcolm's boat moves at 10 miles per hour in still water.  [#permalink]

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New post 12 Jan 2018, 18:36
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pushpitkc wrote:
Malcolm's boat moves at 10 miles per hour in still water. He boats for 4 hours down the stream and then for 4 hours up the stream. If the speed of the water current is 6 miles per hour, how far is he from the starting point?

A. 16 miles
B. 24 miles
C. 32 miles
D. 40 miles
E. 48 miles

Source: Experts Global


Speed down the stream \(= 10+6=16\) miles/hour

Hence distance covered down the stream \(= 16*4\) miles

Speed up the stream \(= 10-6=4\) miles/hour

Hence distance covered up the stream \(= 4*4\) miles.

Therefore net distance from the starting point \(= 16*4-4*4=48\) miles

Option E
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Re: Malcolm's boat moves at 10 miles per hour in still water.  [#permalink]

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New post 12 Jan 2018, 22:55
pushpitkc wrote:
Malcolm's boat moves at 10 miles per hour in still water. He boats for 4 hours down the stream and then for 4 hours up the stream. If the speed of the water current is 6 miles per hour, how far is he from the starting point?

A. 16 miles
B. 24 miles
C. 32 miles
D. 40 miles
E. 48 miles

Source: Experts Global


Distance travelled downstream is 4* ( 10 + 6 ) = 64 miles
Distance travelled upstream is 4* ( 10 - 6 ) = 16 miles

Distance from the starting point is 64 - 16 = 48 miles, answer must be (E) 48 miles...

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Re: Malcolm's boat moves at 10 miles per hour in still water. &nbs [#permalink] 12 Jan 2018, 22:55
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Malcolm's boat moves at 10 miles per hour in still water.

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