A bus takes 5 hours more than a train to cover the distance of 900 km from Vardha to Pune. If speed of the
train is 15 km/hr more than that of the bus, then what is the speed of bus per hour ?
Answers
Answer:
Speed of bus is 45 Km/hr
Step-by-step explanation:
Whether the train travels or the bus the distance between Vardha and Pune i.e 900 Km remains same.
let speed of bus and train be T and B Km/hr respectively.
According to question T= B+15........(1)
Let the train covers the distance in t hours.
then the bus covers the distance in (t+5) hours.
We know that velocity= distance/time
therefore, distance = velocity*time........(2)
the product of velocity and time remains same because distance covered is same
i.e T*t(for train)=B*(t+5)
from(1)
(B+15)t=B(t+5)
Bt+15t=Bt+5B
B=3t............(3)
from (2)
900=B*(t+5) ( since distance is 900 Km)
from(3)
900=3t(t+5)
300=t²+5t
⇒t²+5t-300=0
⇒t²+20t-15t-300=0
⇒t(t+20)-15(t+20)=0
⇒(t-15)(t+20)=0
since t can't be negative
t=15 hours
From(3)
B=45 Km/hr
Hence speed of bus is 45 Km/hr.
P.S: Please make it brainliest if you are satisfied.