SOLUTION: a boy went out into the barangay on his bike at 5 kph. He rested for 2 hours and returned home at the rate of 3 kph. if he was gone for 6 hours how far did he go?

Question 889930: a boy went out into the barangay on his bike at 5 kph. He rested for 2 hours and returned home at the rate of 3 kph. if he was gone for 6 hours how far did he go?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The time actually spent biking was:

Let = his one-way distance
Let = time in hrs spent biking at km/hr
= time in hrs spent biking at km/hr
-------------------------------------------
given:
(1)
(2)
--------------------
By substitution:
(2)
(2)
(2)
(2)
------------------
(1)
(1)
(1)
The total distance was:

The boy went 15 km
---------------------
check:
(2)
(2)
(2)
(2)
OK

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