SOLUTION: Ryan travelled 168 miles in 4 hours. Jess travelled 10 miles in 15 minutes Who had the greater average speed? You must show your working.

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Question 1119098: Ryan travelled 168 miles in 4 hours.
Jess travelled 10 miles in 15 minutes
Who had the greater average speed?
You must show your working.

Found 2 solutions by Alan3354, Theo:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Ryan travelled 168 miles in 4 hours.
Jess travelled 10 miles in 15 minutes
Who had the greater average speed?
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Convert to have the same units.
I would use mi/hr.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
ryan traveled 168 miles in 4 hours.
his average speed per mile is 168/4 = 42 miles per hour.

jess traveled 10 miles in 15 minutes.
15 minutes / 60 is equal to 1/4 of an hour.
his average speed is 10 / (1/4) = 40 miles an hour.

ryan has the greater average speed.

the formula to use is rate * time = distance.
the measurements you use, however, need to be consistent.

if you are dealing in miles per hour, then the distance needs to be in miles and the time needs to be in hours.

for ryan, time is in hours and distance is in miles so no adjustment is necessary.

for jess, time is in minutes which need to be converted to hours.
15 minutes / 60 = 1/4 of an hour.
distance is in miles so no adjustment is required there.

rate * time = distance.

for ryan, this becomes rate * 4 = 168.
solve for rate to get rate = 168/4 = 42 miles per hour.

for jess, this becomes rate * 1/4 = 10.
solve for rate to get rate = 10 / (1/4) = 40 miles per hour.