Singapore 6A question help! X-post

[Caitilin]

Here's the question:

 

Sam and Terry ran on the treadmill. Sam started 10 minutes before Terry. Terry finished 5 minutes before Sam. They both ran the same distance. When Terry finished, Sam had completed 4/5 of the journey and still had 1/2 mile to go.

 

Find Sam's speed.

 

Find Terry's speed.

 

 

I don't feel like we have enough information to do this, or if we do, it's hidden in some way I can't see. :blushing: Any help?

[EKS]

Here's the question:

 

Sam and Terry ran on the treadmill. Sam started 10 minutes before Terry. Terry finished 5 minutes before Sam. They both ran the same distance. When Terry finished, Sam had completed 4/5 of the journey and still had 1/2 mile to go.

 

Find Sam's speed.

 

Find Terry's speed.

 

 

Is this correct?

 

Sam's speed: 0.1 miles/minute or 6 miles/hour

Terry's speed: 0.25 miles/minute or 15 miles/hour

 

Sam ran 0.5 miles in 5 minutes, therefore, assuming he ran a constant speed, he was running at 0.5 miles/5 minutes or 0.1 miles/minute or 6 miles/hour.

 

The total distance was 2.5 miles, because 0.5 miles was 1/5 of the distance. Sam ran for a total of 25 minutes because it took him 5 minutes to complete 1/5 of the distance. It took Terry 10 minutes to run the total distance (he started 10 minutes after Sam and finished 5 minutes before). Therefore Terry's speed was 2.5 miles/10 minutes or 0.25 miles/minute or 15 miles/hour.

[Caitilin]

Thanks, Kai! I find some of these too muddlesome for my word-oriented brain. :)