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.