SOLUTION: A student first rode a bus traveling at an average speed of 30kph and then took a taxi traveling at 60kph. The entire distance was 150 km and the entire trip to 3hrs. How far did h

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Question 1128666: A student first rode a bus traveling at an average speed of 30kph and then took a taxi traveling at 60kph. The entire distance was 150 km and the entire trip to 3hrs. How far did he travel riding the taxi?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = distance student traveled on taxi
= distance traveled on bus
Let = time in hrs for ride in taxi
= time in hrs for bus ride
-----------------------------------------------
Equation for taxi:
(1)
Equation for bus:
(2)
-------------------------------------
Plug (1) into (2)
(2)
(2)
(2)
The taxi ride took 2 hrs
-----------------------------
check:
(1)
(1)
and
(2)
(2)
(2)
OK
Answer by MathTherapy(10549)   (Show Source): You can put this solution on YOUR website!
A student first rode a bus traveling at an average speed of 30kph and then took a taxi traveling at 60kph. The entire distance was 150 km and the entire trip to 3hrs. How far did he travel riding the taxi?
Let distance traveled by taxi be D

Then distance traveled by bus = 150 - D

We then get the following TIME equation: 

First, multiply the equation by its LCD, 60, and then continue solving for D, the distance traveled by taxi.

That's all! NOTHING more, NOTHING less!! 

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