There are between 50 & 60 eggs in a basket. when roza counts by 3's there are 2 leftover and when she counts by 5's there are 4 leftover. how many eggs are in the basket?
(is there a way to solve this without having to go through all the options)

Martha is training for a duathlon, which includes biking and running. she knows that yesterday she covered a total distance of over 55.5 miles in more than than 4.5 hours of training. martha runs at a speed of 6 mph and bikes at a rate of 15.5 mph.