SOLUTION: Ahmad and Bala took part in a 800-m race. Ahmad took 235 seconds to finish the race while Bala took 245 seconds. When Ahmad finished the race, how far was bala from the finishing l

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Ahmad and Bala took part in a 800-m race. Ahmad took 235 seconds to finish the race while Bala took 245 seconds. When Ahmad finished the race, how far was bala from the finishing l      Log On

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Question 857329: Ahmad and Bala took part in a 800-m race. Ahmad took 235 seconds to finish the race while Bala took 245 seconds. When Ahmad finished the race, how far was bala from the finishing line?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the distance Bala is behind
when Ahmad crosses the line
----------------------------
When Ahmad crosses the finish line, Bala is
going to cross in +245+-+235+=+10+ sec
-------------------------------------
Bala's speed is:
+800+%2F+245+=+160+%2F+49+ m/.sec
+d+=+%28+160%2F49+%29%2A10+
+d+=+1600%2F49+
+d+=+32.653+
Bala is 32.653 m from the finish line
when Ahmad crosses
---------------------------------
check:
+800+-+32.653+=+767.347+
Bala covers this distance in +235+ sec
+767.347+%2F+235+=+3.265+ m/sec
-------------------------------
Now I can say:
+3.265+=+800%2F245+
+3.265+=+3.265+
Seems to check OK -hope I got it