Two runners x and y run a race 2 km long.y starts 200 m ahead of x and x beats y by 30 sec,then y starts 3min earlier than x and x is beaten up by 1 km.
The time in minutes which x and y complete the race is ?

Question

Two runners x and y run a race 2 km long.y starts  200 m ahead of x  and x beats y by 30 sec,then y  starts  3min  earlier than x and x is beaten up by 1 km.
The time in minutes which x and y complete the race is ?

ganeshie8 · Answer

x : 4 min
y : 5 min

?

mathmath333 · Answer

yep

ganeshie8 · Answer

I had to find their speeds first in order to solve the time http://www.wolframalpha.com/input/?i=solve+1800%2Fy+%3D+2000%2Fx+%2B+1%2F2%2C++2000%2Fy+%3D+1000%2Fx+%2B+3 do you have any easier way ?

mathmath333 · Answer

substituting 1/x and 1/y as a and b .

mathmath333 · Answer

i also solved the same equatiion

ganeshie8 · Answer

substituting 1/x and 1/y as a and b is a neat trick !