Andre rides the first half of a bike race in two hours. If his partner Adam, rides the return trip, five miles per hour less, and it takes him three hours, how fast was Andre traveling?

1 Answer
Hriman
Mar 18, 2018

#15 " mi/hr"#

Explanation:

Let #d# be the distance of one-way trip

Understand that Distance is equal to Velocity* time
Therefore #A_v# represent Andre's velocity and #B_v# his friend's:

#d=2*A_v#
#d= 3*B_v#
#B_v= A_v-5#

Substitute for #B_v# into the second equation, using the third:
#d= 3(A_v-5)#
#d=3A_v-15#

Substitute this modified equation into the first equation for #d#
#(3A_v-15)=2A_v#
#A_v-15=0#
#A_v=15 "mi/hr"#
#B_v=10 "mi/hr"#

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