In a 200mtr race A gives B a head start of 25mtr and wins by 10sec If A gives B - Maths - Linear Equations in One Variable

Question

In a 200mtr race A gives B a head start of 25mtr and wins by 10sec
If A gives B a start by 45mtr,the race ends in a dead heat What
will be the time taken by A to complete the race

Shruti Tyagi · Accepted Answer

Dear student,
Let Sa and Sb are the speeds of A and B respectivelyand Ta and Tb are the time of A and B respectivelyCase 1:200Sa =Ta=Tb-10   --[1]175Sb=Tb  --[2]Case 2:200Sa=Ta'=Tb'=155SbSaSb=200155dividing 1 by 2  200Sa 175Sb=Tb-10Tb200×Sb175×Sa=Tb-10Tbputting SaSb=200155200×155200×175=Tb-10Tbon solving we get Tb-10Tb=313535Tb-350=31Tb35Tb-31Tb=3504Tb=350Tb=87
5 secand Ta=87 5-10=77 5 sec
Regards

In a 200mtr race A gives B a head start of 25mtr and wins by 10sec.If A gives B a start by 45mtr,the race ends in a dead heat.What will be the time taken by A to complete the race.