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Two trains start at the same time from two stations and proceed towards each other with speeds 40 km per hour and 45 km per hour respectively. When they meet, it is found that one train has traveled 40 km more than the other. Find the distance between the two stations

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360 km

680 km

720 km

550 km

answer is B.

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Detailed Solution

Let Distance and Speed of first train be D 1 and S 1

and of second be D 2 and S 2 respectively

According to question,

S 1 = 40 \frac{km}{h} and S 2 = 45 \frac{km}{h}

D 1 + 40 km = D 2

Time taken by first train = Time taken by second train

\frac{D 1}{S 1} = \frac{D 2}{S 2}

\frac{D 1}{40} = \frac{D 1 + 40}{45}

45 D 1 = 40 D 1 + 1600

5 D 1 = 1600

D 1 = 320 km

⇨

D 2 = 320 + 40 = 360 km

Therefore, Distance between two stations = D 1 + D 2 = 320 + 360 = 680 km

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