CBSE Class 10 Answered
Word problem
Asked by | 05 May, 2009, 10:13: PM
Expert Answer
The time difference between the two cases is 2 hrs.
Train with less speed naturally will take more time than the train with less speed.
Let the original speed be x km/ph
So using the formula,
speed = distance/time
we get
time taken by the slow train,]
=300/x
Time taken by the faster train
=300/(x+5)
So,
acc to question,
Time taken by the slow train - time taken by the faster train = 2
300/x-300/(x+5)=2
300[1/x-1/(x+5)]=2
150[1/x-1/(x+5)]=1
150*5=x(x+5)
factorising,
we get,
(x+30)(x-25)=0
x=25km/ph
Answered by | 07 May, 2009, 02:16: PM
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