Race..

[goyalsau]

A and B run a 1,760m race ending in a dead heat. At first A runs 20% faster than B. B then quickens his pace, and for the remaining distance runs 20% faster than A. When B quickens his pace, A has already run,

a) 800 m
b) 1000 m
c) 790 m
d) 960 m
e) 900 m

OA is D

Guys, Please Help

[selango]

A
-------------

Da=Sa*T

Sa=1.2sb

-->Da=1.2*Sb*T

Da=1.2*Db

After B quicken his pace.

Db=1760-Da

Db=1760-1.2Db

-->Db=800

Da=1.2*800=960

Pick D

[goyalsau]

A
-------------

Da=Sa*T

Sa=1.2sb

-->Da=1.2*Sb*T

Da=1.2*Db

After B quicken his pace.

Db=1760-Da { Can you please explain this one, } From where you got this relation.

Db=1760-1.2Db

-->Db=800

Da=1.2*800=960

Pick D

[selango]

Total distance=1760

First A ran faster than B and covered the distance Da

Remaining distance covered by B is 1760-Da