Question

A man riding a bicycle covers a distance of 60km in the direcion of wind and comes back to his original position in 8 hrs. If the speed of the wind is 10km/hr, find the speed of the bicycle.​

Answer 1

Step-by-step explanation:

Let speed of bicycle be x

Then,

x+10

60

+

x−10

60

=8

60x−600+60x+600=8(x

2

−100)

120x=8x

2

−800

x

2

−15x−100=0

x

2

−20x+5x−100=0

(x−20)(x+5)=0

x=20,−5

Hence, speed of bicycle is 20 km/hr