SOLUTION: Toontown and Teentown are 350km apart. Andy is travelling from Toontown to Teentown at an average speed of 40km/hr, while Michael is travelling from Teentown to Toontown at the s

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Question 1102175: Toontown and Teentown are 350km apart. Andy is travelling from Toontown to Teentown at an average speed of 40km/hr, while Michael is travelling from Teentown to Toontown at the speed of 60km/hr. How far away from Toontown would Andy be when they meet?
Found 4 solutions by greenestamps, ikleyn, josgarithmetic, richwmiller:
Answer by greenestamps(13215)   (Show Source):
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When they meet, the two together have traveled 350km.

The ratio of the speeds is 40:60, or 2:3; that means Andy has traveled 2/5 of the total 350km, or 140km, and Michael has traveled 3/5 of the total, or 210km.

Since Andy is the one traveling from Toontown to Teentown, they meet when they are 140km from Toontown.

Answer by ikleyn(52914)   (Show Source):
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.
1 - Physics style solution

Their relative speed is 60 km/h + 40 km/h = 100 km/h. It means that the distance between them decreases at the rate of 100 km/h. Hence, they meet each other in Time = = = 3.5 hours. At this time Andy will be 40*3.5 = 140 miles from Toontown.

2 - Algebra style solution

Let "t" be the time they meet each other. To that moment Andy will cover the distance of 60*t miles, while Michael will cover 40*t miles. In all these distance cover the whole/entire distance of 350 miles, which gives you an equation 60t + 40t = 350, or (60+40)*t = 350 ====> 100t = 350 ====> t = = 3.5 hour. Thus we obtained again this time interval of 3.5 hours till the meeting moment, and Andy will cover his 3.5*40 = 140 miles from Toontown.

For such and similar problems see the lessons
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.

Answer by josgarithmetic(39630)   (Show Source):
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Andy traveled FROM Toontown at 40 km/hr.

Answer by richwmiller(17219)   (Show Source):
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Using the method of alligation.

60 60 3/5*350=210 km at 60 kph Michael from Teentown 100 210+140= 350 km at 100 kph 40 40 2/5*350=140 km at 40 kph Andy from Toontown 100