A train goes at a constant speed. It can travel 150 miles in 2 1/2 hours.How long would it take for that train to travel 100 miles?

Answer 1

ratio of time to distance is a constant

T/100 = 2.5/150

T = 100(2.5)/150 = 2.5/1.5 = 5/3

= 1 2/3 hours to go 100 miles

100 is 2/3 of 150

so the time is 2/3 of 2 1/2

=(2/3)(5/2) = 5/3