A train covers a distance of 300 km in 6
hours. How much time will the train take
to cover a distance of 500 km at the same
speed.
Answers
Answered by
1
Answer:
10 hours is the answer pls mark me as brainliest
Answered by
5
Answer:
Original speed =12300=25km/hr.
In dept
First you know the formula
Speed =timedistance= T 300=x
At increased speed,
⇒x+5=t−2300 ...(2)
Substituting eq. (1) in eq.(2), we get
⇒t300+5=t−2300
⇒(300+5t)(t−2)=300t
⇒300t−600+5t2−10t=300t
⇒5t2−10t−600=0
∴t2−2t−120=0
∴t2−12t+10t−120=0
∴t(t−12)+10(t−12)=0
∴(t−12)(t+10)=0
∴t=12 or t=−10
∵t cannot be negative, t=12hrs
∴ Original speed =12300=25km/hr.
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