in a race ram beats shyam bu 30 m in the same race shyam beats tarun by 60 m while ram beats tarun by 84 m. find the length of the race. ( in m )
Answers
Length of Race = 300 m if in a race ram beats shyam by 30 m in the same race shyam beats tarun by 60 m while ram beats tarun by 84 m
Step-by-step explanation:
Let say Length of Race = L m
ram beats shyam by 30 m
=> When Ram completes L m
Shayam Complets = L - 30 m
shyam beats tarun by 60 m
=> when Shayam completes L m
then Tarun completes = L - 60 m
ram beats tarun by 84 m
=> When Ram completes L m
then Tarun completes = L - 84 m
let say speed of shayam = S & speed of Tarun = T
(L - 30) / S = (L - 84)/T
=> (L - 30)/(L - 84) = S/T
also L/S = (L-60)/T
=> L/(L - 60) = S/T
(L - 30)/(L - 84) = L/(L - 60)
=> L² - 90L + 1800 = L² - 84L
=> 6L = 1800
=> L = 300
Length of Race = 300 m
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Answer:
Let say Length of Race = L m
ram beats shyam by 30 m
=> When Ram completes L m
Shayam Complets = L - 30 m
shyam beats tarun by 60 m
=> when Shayam completes L m
then Tarun completes = L - 60 m
ram beats tarun by 84 m
=> When Ram completes L m
then Tarun completes = L - 84 m
let say speed of shayam = S & speed of Tarun = T
(L - 30) / S = (L - 84)/T
=> (L - 30)/(L - 84) = S/T
also L/S = (L-60)/T
=> L/(L - 60) = S/T
(L - 30)/(L - 84) = L/(L - 60)
=> L² - 90L + 1800 = L² - 84L
=> 6L = 1800
=> L = 300
Length of Race = 300 m