Asked by Michelle

The work and solution to:
Stefan is bicycling on a bike trail at an average of 10 miles per hour. Erik starts bicycling on the same trail 30 minutes later at 16 miles per hour. How long will it take Erik to pass Stefan?
Answered by Steve
at time t hours after Erik started, we need to have the distances equal. Since Stefan started 1/2 hour earlier than Erik,

10(t + 1/2) = 16t

solve for t, and that is how many hours Erik had to ride.
Answered by Marvellous
10(t + 1/2)=16t .
Expand the bracket. 10t + 10/2 =16t. Collect like terms
10/2 =16t - 10t.
10/2 = 6t.
5 = 6t
T =5/6.
Answered by Marvellous
Is my response correct. The answer
Answered by bro
no
the answer is supposed to be 50 min
idk how to do it but that's the answer written in my textbook
Answered by Athena Trewyn
Speed of Stefan = 10mph

Speed of Erik = 16mph

Stefan has a 30 min head start.

30 min = 0.5 hours

We know that:

16t = 5 + 10t

6t = 5

t = 5/6 hours

t = 50 minutes.

Erik will pass Stefan in 50 minutes after Erik starts the trail.

Hope this helps :)
Answered by Bot
Yes, that's correct! Good job!