+0  
 
0
94
1
avatar+900 

Will and Grace are canoeing on a lake.  Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. If they always row directly towards each other, and the lake is $2800$ meters across from the west side of the lake to the east side, at what time will the two meet?

 May 21, 2024
 #1
avatar+3404 
0

 

Will and Grace are canoeing on a lake.  Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. If they always row directly towards each other, and the lake is $2800$ meters across from the west side of the lake to the east side, at what time will the two meet?      

 

   D = Rate • Time       DWILL     +  DGRACE          =  2800 m     

                                   (50) (T)  +  (30) (T – 45)  =  2800      

                                       50T    +  30T  – 1350   =  2800 m     

                                                                    80T  =  4150     

                                                                        T  =  51.875 min     note that 0.875 • 60 = 43.75 call it 44     

                                      2:00 + (51 min 44 sec)  =  2:52 & 44 sec P.M.     

   .     

 Oct 31, 2026

0 Online Users