Posted by **Kelly** on Sunday, September 22, 2013 at 8:49pm.

Steve mcspoke left home on his bike traveling at 18km/hr. Steve's brother set out 2 hours later , following the same route, TRAVELING 54 per hour. How long did brother have to travel to catch up with Steve?

- Math -
**Jai**, Sunday, September 22, 2013 at 9:02pm
Represent the unknown with variable.

Let x = time that Steve's brother travelled

Recall that distance is equal to speed multiplied by time. We get their distances travelled and equate them (since it's said that they followed the same route and they'll overtake at some time):

18(x + 2) = 54x

Note the Steve left two hours before his brother, thus there's +2 on his time. Solving for x,

18x + 36 = 54x

18x - 54x = -36

-36x = -36

x = 1 hour

Hope this helps~ :3

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