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A railway train having traveled at 3/5 of its - sciencesparkle.com

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Asked: 1 year ago2023-12-20T07:26:59+05:30 2023-12-20T07:26:59+05:30In: Speed, Time & Distance

A railway train having traveled at 3/5 of its normal speed reaches its destination 2 hours 30 minutes late. In what time would the train reach its destination travelling at the normal speed?

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a) 3 hours 45 minutes

b) 4 hours 30 minutes

c) 3 hours 15 minutes

d) 4 hours 15 minutes

Correct answer is : a) 3 hours 45 minutes

Explanation

Let, the normal speed be ‘x’
And the time taken in normal speed is ‘t’ minutes.
We know,
Distance = KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode. In normal speed destination distance is KaTeX parse error: KaTeX doesn't work in quirks mode.


According to the question,
KaTeX parse error: KaTeX doesn't work in quirks mode. of x the train taken time is
KaTeX parse error: KaTeX doesn't work in quirks mode. [2 hours 30 minutes = 150 minutes]
Here, destination distance is
KaTeX parse error: KaTeX doesn't work in quirks mode. [destination = speed × time]


As the destination distance is same, so we can compare both distance.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode. [cross multiplication]
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.The time taken in normal speed is 225 minutes or 3 hours 45 minutes.
Ans: The time taken in normal speed is 225 minutes or 3 hours 45 minutes.

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