jacqui commutes 30 miles to her job each day She finds that

jacqui commutes 30 miles to her job each day. She finds that if she drives 10 miles/hour faster, it takes her 6 minutes less to get to work .find her new speed

Solution

rt=30
t=30/r
(r+10)(t-1/10)=30
(r+10)(30/r-1/10)=30
r=50
new speed 50+10=60
60(t-1/10)=30
t=3/5=36/60= 36 minutes
t-1/10=new time 30 minutes