Question

In a race Amit beats Bikesh by 10 seconds whereas Bikesh beats sonu by 14 seconds. If amit gives Sonu a start of 120 meter, then both will finish the race simultaneously. By what distance does Bikesh beat Sonu?

Answer 1

Answer:

70 m

Step-by-step explanation:

Let say Race =  R m

And let say Amit Finished Race in  A secs

Bikesh finished Race in A + 10 sec

Sonu finishes race in A + 10 + 14 = A + 24 sec

Speed of Amit = R/A   m/s

Speed of Bikesh = R/(A+10)  m/s

Sonu Speed = R/(A + 24)  m/s

(R-120)/(R/(A +24)  =  R/(R/A)

=> (R - 120) (A + 24)/R  = A

=> AR - 120A + 24R - 2880 = AR

=> 24R - 120A = 2880

=> R - 5A = 120

=> R = 5A + 120

Sonu Speed = 5 m/s  , Time = A + 10   ( equal to Bikesh Time to find Distance when between Bikesh & Sonu when Bikesh finish race)

Sonu Distance = 5(A + 10) = 5A + 50

Bikesh Distance = R = 5A + 120

Bikesh Beats Sonu by  = 5A + 120  - 5A - 50  = 70 m