Jimmy runs #1# #1/4# kilometers in 5 minutes. Rachel runs #2# #1/2# kilometers in 10 minutes. Whose speed is greater?

2 Answers
Apr 4, 2018

None

Explanation:

Jimmy's speed is:

#(1 1/4 \ "km")/(5 \ "min")=1/4 \ "km/min"#

Rachel's speed is:

#(2 1/2 \ "km")/(10 \ "km")=1/4 \ "km/min"#

From here, you can see that Jimmy's speed is the same as Rachel's speed, so nobody runs faster than the other person.

Apr 4, 2018

Both are running at the same speed.#250#m/minute

Explanation:

#1km=1000m#

Jimmy runs:-
#:.5 #minutes#=1 1/4 km=1.25xx1000=1250m#

#:.1# minute#=1/cancel 5^1 xx cancel 1250^250/1m#

#:.1# minute#=250# m

Rachel runs:-

#:.10 #minutes#=2 1/2 km=2.5xx1000=2500m#

#:.1# minute#=1/cancel 10^1 xx cancel 2500^250/1m#

#:.1# minute#=250# m

Both are running at the same speed.#250#m/minute