Question

A man riding a bicycle covers a distance of 60 km in a direction of wind and compose back to his original place in 8 hours . If the speed of wind is 10 km/h .Find the speed of the bicycle?​

Answer 1

Step-by-step explanation:

20 km/hr

Step-by-step explanation:

x - speed of the cycle

x+10 - speed of the cycle in a direction of a wind

x-10 - speed of the cycle against the wind

Distance/Speed = Time

60/( x+10 ) + 60/ ( x-10) = 8

Solve the equation we get

x\begin{lgathered}x^{2} - 15x - 100 = 0\\x^{2} - 15x + 56.25 - 56.25 - 100 = 0\\(x - 7.5)^{2} = 156.25\\x - 7.5 = 12.5\\x = 20 Km/Hr\end{lgathered}x2−15x−100=0x2−15x+56.25−56.25−100=0(x−7.5)2=156.25x−7.5=12.5x=20Km/Hr