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+1 vote
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in Distance, Time and Speed by (95.4k points)
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A train is 216 m long . It crosses a platform in 19 seconds with speed 21 m/s . If some 21 m long coaches are added in train and it crosses same platform , then it takes 26 seconds to cross the platform at same speed . How many coaches were added to the train ?
A. 7
B. 10
C. 12
D. 5

1 Answer

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by (94.7k points)
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Best answer
Correct Answer - A
According to question ,
Length of platform = `21 xx 19 - 216 = 183` meter
Let x coaches are added
`216 + 183 + 21 x = 21 xx 26`
`implies 21 x = 147`
`implies x = 7`
So , 7 coaches were added to the train .
Alternative Solution :
Let x coaches were added
`therefore` distance cover = x `xx 21`m
also , time increase = 7 sec , travelling at 21 m/s .
`therefore d = 21 xx 7 = x xx 21` m .
`implies x = 7 ` coaches

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