Going against the wind, a cyclist was able to reach 60 km in a matter of 4 hours. With the wind, she was able to cover 150 km in 6 hours. What would be the spee

Question

the wind is blowing at______kph

Answer 1

(R+w)*4=60 (R-w)*6=150 Where r and w are the speed of the bicyclist and wind respectively Distributive property 4R - 4w=60 6R+6w=150 Dividing the first equation by 4 and the second equation by 6 R-w=15 R+w=25 Adding them together 2R= 40 R=20 Per the first equation the wind speed must be 5. The second equation verifies it: 25 * 6 = 150