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Terry and Tao are canoeing on a lake that is 2000 meters across from the west side of the lake to the east side. Terry rows at 60 meters per minute and Tao rows at 40 meters per minute. Terry starts rowing at 2 PM from the west end of the lake, and Tao starts rowing from the east end of the lake at 2:05 PM. If they always row directly towards each other, at what time will the two meet?

 Jul 12, 2022
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Let T  be the number of minutes after 2PM

 

Terry   rows for T minutes at 60m /min

Tao   rows for  T - 5 minutes  at 40m/min

 

And   Rate * Time  =  Distance

 

So

 

Distance that Terry rows  + Distance that Tao rows =  2000 m

 

60T +  40 (T - 5)  =   2000

 

60T  + 40T  - 200 =   2000

 

100T  - 200 = 2000

 

100T  =  2000 + 200

 

100T = 2200

 

T =  2200 / 100  =   22 minutes

 

They meet  at    2:22 PM

 

 

cool cool cool

 Jul 12, 2022

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