SOLUTION: Question: You can bike to your aunt's house at 15mph. Your bike has a flat and you have to walk back at 6mph. If your total traveling time was 2 hours, how long did it take you

Question 900221: Question:
You can bike to your aunt's house at 15mph. Your bike has a flat and you have to walk back at 6mph. If your total traveling time was 2 hours, how long did it take you to ride your bike to your aunt's house?
Distance - rate x time
I think the correct equation is:
15x = 6 (2-x)
15x = 12 - 6x
21x = 12
x = 12/21 or 4/7
Is that 4/7 of an hour? 34 minutes and 29 seconds
So, is the answer "It takes 34 minutes to ride to aunt's house"??

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x+y=2
x=2-y
15x=6y
15(2-y)=6y
30-15y=6y
30=21y
10=7y
y=10/7= 1 3/7
x=14/7-10/7=4/7 hr 34 min 17 sec

RELATED QUESTIONS
You and your best friend decide to go on a bike ride. You start at your house and ride 6... (answered by richwmiller)

You bike 35 miles from A to B (due south) and then walk 12 miles from B to C at a bearing (answered by Theo)

You bike 35 miles from A to B (due south) and then walk 12 miles from B to C at a bearing (answered by ankor@dixie-net.com)

Can you please help me figure this problem out and show the work so I can understand what (answered by venugopalramana)

Wyatt left his house and rode his bike into town at 10 mph. Along the way he got a flat... (answered by Alan3354,josgarithmetic,ikleyn)

You rode your bike 4 miles to the beach. at the beach, you walked 6 miles in 102 minutes. (answered by josgarithmetic)

You are traveling to your aunt's house 200 miles away for a surprise birthday party. The... (answered by josgarithmetic,ikleyn,MathTherapy)

you ride your bike to the park 1800 meters from your house.if u ride at speed of 12m/s... (answered by josgarithmetic,ikleyn)

If you ride your bike at an average speed of 4 km/h and need to travel a total distance... (answered by swincher4391)