She kept writing to important people and spent money at an alarming rate.

The water rose at an alarming rate of 3 to 6 inches an hour.

He said such sites were growing at an alarming rate.

Meanwhile, the city is growing and changed at an alarming rate.

Time (in the local sense) was running down at an alarming rate.

And yet, they are still losing at an alarming rate.

Yet over the past decade it has been growing at an alarming rate.

Over the past several years, the federal government has increased spending at an alarming rate.

The trade in women and children is increasing at an alarming rate.