Question

Two trains start from the same station at the same time the same direction in two parallel tracks .the fast train travels at a speed of 80km/h and reaches its destination in 7/2 hrs . if the other train reaches the same destination 1h 10 min later,find the speed of the second train

Answer 1

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Answer 2

Answer: The speed of the second train is 60 km/hr.

Step-by-step explanation:

Since we have given that

Speed of the fast train = 80 km/hr

Time taken by the fast train is given by $\frac{7}{2}\ hours$

So, Distance covered by them is given by

$Distance=Speed\times Time\\\\Distance=80\times \frac{7}{2}\\\\Distance=40\times 7\\\\Distance=280\ km$

Since the same distance traveled by the other train in 1 hr 10 min later.

So, Time taken by the other train is given by

$\frac{7}{2}+1\frac{10}{60}\\\\=\frac{7}{2}+1\frac{1}{6}\\\\=\frac{7}{2}+\frac{7}{6}\\\\=\frac{21+7}{6}\\\\=\frac{28}{6}\\\\=\frac{14}{3}\ hours$

So, Speed of the second train is given by

$Speed=\frac{Distance}{Time}\\\\Speed=\frac{280}{\frac{14}{3}}\\\\Speed=\frac{280\times 3}{14}\\\\Speed=20\times 3\\\\Speed=60\ km/hr$

Hence, the speed of the second train is 60 km/hr.