Question

a man's stride is x cm long and his wife's stride is 15cm shorter .he covers 30m in 10 steps less than his wife.frame an equation in x and solve it​

Answer 1

Answer:

x² - 15x = 4500

Step-by-step explanation:

A man's stride is x cm long and his wife's stride is 15cm shorter .he covers 30m in 10 steps less than his wife.frame an equation in x and solve it​

man's stride is x cm

wife's stride = x - 15 cm

Distance = 30 m = 30 * 100 = 3000 cm

Number of Steps by Man = 3000/x

Number of Steps by wife = 3000/(x-15)

=> 3000/(x-15) - 3000/x = 10

=> 3000 x - 3000(x -15)  = 10 x(x-15)

=> 3000 ( x - x + 15) = 10 ( x² - 15x)

=> 3000 (15) = 10 ( x² - 15x)

=> 4500 = x² - 15x

=> x² - 15x - 4500 = 0

x² - 75x + 60x  - 4500 = 0

=> x(x-75) + 60(x -75) = 0

=> (x -75)(x + 60) = 0

=> x = 75 cm

x - 15 = 60 cm

man's stride is 75 cm long

his wife's stride is 60 cm long

Answer 2

here is your answer

hope it helps you