Train takes 3 hours less for a journey 400 km, if its speed is incresed by 6 km/hour form its usual speed
Answers
Answered by
1
Distance = 400 km
Let say Usual Speed = S km/Hr
Increased Speed = S+6 km/Hr
Time Taken with Usual Speed = 400/S Hr
Time Taken with Increased Speed = 400/(S+6) Hr
400/S - 400/(S+6) = 3
400(S+6) - 400S = 3S(S+6)
400S + 2400 -400S = 3S²+18S
3S²+18S-2400=0
S²+6S-800=0
S²+6S+9-9-800=0
S²+6S+9=809
(S+3)²= 809
S+3 = √809
S = √809 - 3 km/Hr
S = 25.44 km/Hr
Usual speed = 25.44 km/Hr
Please mark the answer as "The Brainliest answer" if you like it
Similar questions