Along distance runner starts at the beginning of a trail and runs at a rate of 4 miles per hour. three hours later, a cyclist starts at the beginning of the trail and travels at a rate of 19 miles per hour. what is the amount of time that the cyclist travels before overtaking the runner?

do not do any rounding.

Lv beethoven software supplies customized software to a managed healthcare system. lv beethoven software's costs for the software is $1,723,000. lv beethoven software sells the software to the healthcare system for $3,816,981.10. overhead expenses are estimated at 47% of the selling price. what is lv beethoven software's net profit to the nearest dollar?