Word problem help

Question

Jenny, who rides a moped, takes 2 hours less to travel 60 miles than Maureen takes to travel 50 miles on her bicycle. Jenny travels 10 miles per hour faster than Maureen. What are their individual speeds?

Answer 1

jenny is 2 hours faster to travel 60 miles

than Maureen takes to go 50 miles

60/j= (50/m)+2

d/r = t, distance/speed = time

Jenny goes 10 mph faster than Maureen j = 10+m

60/(10+m) = 50/m +2, multiply by m(10+m) to get

60m = 500 +50m + 20m + 2m^2

2m^2 + 10m +500=0

m^2 +5m +250 = 0

complete the square

m^2 +5m + 25/4 = -250 +25/4= -975/4

(m+5/2)^2 = -975/4

m = -2.5 +1.25isqr39

just imaginary solutions. No real solution DNE Does Not Exist. Null Set { }

information given in the problem is inconsistent, contradictory, although difficult to see