diff --git a/build/docker/README.md b/build/docker/README.md
index 6f170e1..e3c2ec1 100644
--- a/build/docker/README.md
+++ b/build/docker/README.md
@@ -192,6 +192,6 @@
 | python    | 2.7.12        | 2.7.15        |       |
 | python3   | 3.5.2         | 3.6.8         |       |
 | ruby      | 2.3.1p112     | 2.5.1p57      |       |
-| rust      | 1.34.0        | 1.35.0        |       |
+| rust      | 1.40.0        | 1.40.0        |       |
 | smalltalk |               |               | Not in CI |
 | swift     |               | 5.1.4         |       |
diff --git a/build/docker/ubuntu-bionic/Dockerfile b/build/docker/ubuntu-bionic/Dockerfile
index c22a859..7deefcb 100644
--- a/build/docker/ubuntu-bionic/Dockerfile
+++ b/build/docker/ubuntu-bionic/Dockerfile
@@ -23,7 +23,7 @@
 
 RUN apt-get update && \
     apt-get dist-upgrade -y && \
-    apt-get install -y --no-install-recommends \
+    apt-get install -y --no-install-recommends --fix-missing \
       apt \
       apt-transport-https \
       apt-utils \
@@ -247,7 +247,7 @@
       ruby-bundler
 
 # Rust dependencies
-RUN curl https://sh.rustup.rs -sSf | sh -s -- --default-toolchain 1.36.0 -y
+RUN curl https://sh.rustup.rs -sSf | sh -s -- --default-toolchain 1.40.0 -y
 ENV PATH /root/.cargo/bin:$PATH
 
 # Swift on Linux for cross tests
diff --git a/build/docker/ubuntu-disco/Dockerfile b/build/docker/ubuntu-disco/Dockerfile
index 247bcf1..cfa4041 100644
--- a/build/docker/ubuntu-disco/Dockerfile
+++ b/build/docker/ubuntu-disco/Dockerfile
@@ -248,7 +248,7 @@
       ruby-bundler
 
 # Rust dependencies
-RUN curl https://sh.rustup.rs -sSf | sh -s -- --default-toolchain 1.35.0 -y
+RUN curl https://sh.rustup.rs -sSf | sh -s -- --default-toolchain 1.40.0 -y
 ENV PATH /root/.cargo/bin:$PATH
 
 # Swift on Linux for cross tests
diff --git a/build/docker/ubuntu-xenial/Dockerfile b/build/docker/ubuntu-xenial/Dockerfile
index 315b298..535db41 100644
--- a/build/docker/ubuntu-xenial/Dockerfile
+++ b/build/docker/ubuntu-xenial/Dockerfile
@@ -253,7 +253,7 @@
       ruby-bundler
 
 # Rust dependencies
-RUN curl https://sh.rustup.rs -sSf | sh -s -- --default-toolchain 1.34.0 -y
+RUN curl https://sh.rustup.rs -sSf | sh -s -- --default-toolchain 1.40.0 -y
 
 # Clean up
 RUN rm -rf /var/cache/apt/* && \