The phrase 'seems to be speeding' is correct and can be used in written English.
For example, you can use it to describe the actions of a particular vehicle: "The car ahead of us seemed to be speeding."
But everything seems to be speeding up," he said.
And the drift away from the area seems to be speeding up.
Dr. Kane's hypothesized breakthrough did not include an explanation for the so-called dark energy that seems to be speeding up the expansion of the universe.
Against the background of a long cycle of change in the political economy associated with the European crisis, the political cycle seems to be speeding up.
Some, like Jacqueline Luster, 60, a retired bank employee in Macedonia, Ohio, say that the times are changing, and that Mr. Obama seems to be speeding that change.
Economic growth seems to be speeding up around the world, and inflation, which has been quiescent, might start to pick up.
Survivors said the 23-year-old driver seemed to be speeding.
But the old priorities ain't what they used to be... Since September 11, biological clocks all over town seem to be speeding up.
So if this year's cyclists seem to be speeding over the French mountains at a slower pace, it could well be because they aren't doping — or are doping less than past competitors have.
Both teams found, while they were taking measurements of distant exploding stars in 1997, that the expansion of the universe seemed to be speeding up, but at first neither team believed it.
The Universe's Fate Bleak Implications Of 'Dark Energy' In 1998, two competing teams of astronomers startled the scientific world with the news that the expansion of the universe seemed to be speeding up under the influence of a mysterious antigravity that seems embedded in space itself and that is hauntingly reminiscent of Einstein's old, presumably discredited, cosmological constant.
