diff --git a/README.md b/README.md
index dce4b60..efcc90e 100644
--- a/README.md
+++ b/README.md
@@ -38,6 +38,7 @@ descriptor based implementation with an in-memory write buffer.
   * [WritableResourceStream](#writableresourcestream)
   * [DuplexResourceStream](#duplexresourcestream)
   * [ThroughStream](#throughstream)
+  * [CompositeStream](#compositestream)
 * [Usage](#usage)
 * [Install](#install)
 * [Tests](#tests)
@@ -1010,6 +1011,44 @@ $through->on('data', $this->expectCallableNever()));
 $through->write(2);
 ```
 
+### CompositeStream
+
+The `CompositeStream` implements the
+[`DuplexStreamInterface`](#duplexstreaminterface) and can be used to create a
+single duplex stream from two individual streams implementing
+[`ReadableStreamInterface`](#readablestreaminterface) and
+[`WritableStreamInterface`](#writablestreaminterface) respectively.
+
+This is useful for some APIs which may require a single
+[`DuplexStreamInterface`](#duplexstreaminterface) or simply because it's often
+more convenient to work with a single stream instance like this:
+
+```php
+$stdin = new ReadableStreamResource(STDIN, $loop);
+$stdout = new WritableStreamResource(STDOUT, $loop);
+
+$stdio = new CompositeStream($stdin, $stdout);
+
+$stdio->on('data', function ($chunk) use ($stdio) {
+    $stdio->write('You said: ' . $chunk);
+});
+```
+
+This is a well-behaving stream which forwards all stream events from the
+underlying streams and forwards all streams calls to the underlying streams.
+
+If you `write()` to the duplex stream, it will simply `write()` to the
+writable side and return its status.
+
+If you `end()` the duplex stream, it will `end()` the writable side and will
+`pause()` the readable side.
+
+If you `close()` the duplex stream, both input streams will be closed.
+If either of the two input streams emits a `close` event, the duplex stream
+will also close.
+If either of the two input streams is already closed while constructing the
+duplex stream, it will `close()` the other side and return a closed stream.
+
 ## Usage
 ```php
     $loop = React\EventLoop\Factory::create();
diff --git a/src/CompositeStream.php b/src/CompositeStream.php
index 084385b..d9253e4 100644
--- a/src/CompositeStream.php
+++ b/src/CompositeStream.php
@@ -15,6 +15,10 @@ public function __construct(ReadableStreamInterface $readable, WritableStreamInt
         $this->readable = $readable;
         $this->writable = $writable;
 
+        if (!$readable->isReadable() || !$writable->isWritable()) {
+            return $this->close();
+        }
+
         Util::forwardEvents($this->readable, $this, array('data', 'end', 'error'));
         Util::forwardEvents($this->writable, $this, array('drain', 'error', 'pipe'));
 
diff --git a/tests/CompositeStreamTest.php b/tests/CompositeStreamTest.php
index d1c9257..4b4b2f4 100644
--- a/tests/CompositeStreamTest.php
+++ b/tests/CompositeStreamTest.php
@@ -10,18 +10,68 @@
  */
 class CompositeStreamTest extends TestCase
 {
+    /** @test */
+    public function itShouldCloseReadableIfNotWritable()
+    {
+        $readable = $this->getMockBuilder('React\Stream\ReadableStreamInterface')->getMock();
+        $readable
+            ->expects($this->once())
+            ->method('isReadable')
+            ->willReturn(true);
+        $readable
+            ->expects($this->once())
+            ->method('close');
+
+        $writable = $this->getMockBuilder('React\Stream\WritableStreamInterface')->getMock();
+        $writable
+            ->expects($this->once())
+            ->method('isWritable')
+            ->willReturn(false);
+
+        $composite = new CompositeStream($readable, $writable);
+
+        $composite->on('close', $this->expectCallableNever());
+        $composite->close();
+    }
+
+    /** @test */
+    public function itShouldCloseWritableIfNotReadable()
+    {
+        $readable = $this->getMockBuilder('React\Stream\ReadableStreamInterface')->getMock();
+        $readable
+            ->expects($this->once())
+            ->method('isReadable')
+            ->willReturn(false);
+
+        $writable = $this->getMockBuilder('React\Stream\WritableStreamInterface')->getMock();
+        $writable
+            ->expects($this->once())
+            ->method('close');
+
+        $composite = new CompositeStream($readable, $writable);
+
+        $composite->on('close', $this->expectCallableNever());
+        $composite->close();
+    }
+
     /** @test */
     public function itShouldForwardWritableCallsToWritableStream()
     {
         $readable = $this->getMockBuilder('React\Stream\ReadableStreamInterface')->getMock();
+        $readable
+            ->expects($this->once())
+            ->method('isReadable')
+            ->willReturn(true);
+
         $writable = $this->getMockBuilder('React\Stream\WritableStreamInterface')->getMock();
         $writable
             ->expects($this->once())
             ->method('write')
             ->with('foo');
         $writable
-            ->expects($this->once())
-            ->method('isWritable');
+            ->expects($this->exactly(2))
+            ->method('isWritable')
+            ->willReturn(true);
 
         $composite = new CompositeStream($readable, $writable);
         $composite->write('foo');
@@ -33,14 +83,16 @@ public function itShouldForwardReadableCallsToReadableStream()
     {
         $readable = $this->getMockBuilder('React\Stream\ReadableStreamInterface')->getMock();
         $readable
-            ->expects($this->once())
-            ->method('isReadable');
+            ->expects($this->exactly(2))
+            ->method('isReadable')
+            ->willReturn(true);
         $readable
             ->expects($this->once())
             ->method('pause');
         $readable
             ->expects($this->once())
             ->method('resume');
+
         $writable = $this->getMockBuilder('React\Stream\WritableStreamInterface')->getMock();
         $writable
             ->expects($this->any())
@@ -57,15 +109,19 @@ public function itShouldForwardReadableCallsToReadableStream()
     public function itShouldNotForwardResumeIfStreamIsNotWritable()
     {
         $readable = $this->getMockBuilder('React\Stream\ReadableStreamInterface')->getMock();
+        $readable
+            ->expects($this->once())
+            ->method('isReadable')
+            ->willReturn(true);
         $readable
             ->expects($this->never())
             ->method('resume');
 
         $writable = $this->getMockBuilder('React\Stream\WritableStreamInterface')->getMock();
         $writable
-            ->expects($this->once())
+            ->expects($this->exactly(2))
             ->method('isWritable')
-            ->willReturn(false);
+            ->willReturnOnConsecutiveCalls(true, false);
 
         $composite = new CompositeStream($readable, $writable);
         $composite->resume();
@@ -75,7 +131,16 @@ public function itShouldNotForwardResumeIfStreamIsNotWritable()
     public function endShouldDelegateToWritableWithData()
     {
         $readable = $this->getMockBuilder('React\Stream\ReadableStreamInterface')->getMock();
+        $readable
+            ->expects($this->once())
+            ->method('isReadable')
+            ->willReturn(true);
+
         $writable = $this->getMockBuilder('React\Stream\WritableStreamInterface')->getMock();
+        $writable
+            ->expects($this->once())
+            ->method('isWritable')
+            ->willReturn(true);
         $writable
             ->expects($this->once())
             ->method('end')
@@ -89,10 +154,19 @@ public function endShouldDelegateToWritableWithData()
     public function closeShouldCloseBothStreams()
     {
         $readable = $this->getMockBuilder('React\Stream\ReadableStreamInterface')->getMock();
+        $readable
+            ->expects($this->once())
+            ->method('isReadable')
+            ->willReturn(true);
         $readable
             ->expects($this->once())
             ->method('close');
+
         $writable = $this->getMockBuilder('React\Stream\WritableStreamInterface')->getMock();
+        $writable
+            ->expects($this->once())
+            ->method('isWritable')
+            ->willReturn(true);
         $writable
             ->expects($this->once())
             ->method('close');
@@ -132,6 +206,11 @@ public function itShouldReceiveForwardedEvents()
     public function itShouldHandlePipingCorrectly()
     {
         $readable = $this->getMockBuilder('React\Stream\ReadableStreamInterface')->getMock();
+        $readable
+            ->expects($this->once())
+            ->method('isReadable')
+            ->willReturn(true);
+
         $writable = $this->getMockBuilder('React\Stream\WritableStreamInterface')->getMock();
         $writable->expects($this->any())->method('isWritable')->willReturn(True);
         $writable
@@ -150,8 +229,10 @@ public function itShouldHandlePipingCorrectly()
     public function itShouldForwardPipeCallsToReadableStream()
     {
         $readable = new ThroughStream();
+
         $writable = $this->getMockBuilder('React\Stream\WritableStreamInterface')->getMock();
         $writable->expects($this->any())->method('isWritable')->willReturn(True);
+
         $composite = new CompositeStream($readable, $writable);
 
         $output = $this->getMockBuilder('React\Stream\WritableStreamInterface')->getMock();