The distance between two stations, Delhi and Amritsar, is 450 km. A tr

1.	The distance between two stations, Delhi and Amritsar, is 450 km. A train starts at 4 p.m. from Delhi and moves towards Amritsar at an average speed of 60 km/hr. Another train starts from Amritsar at 3.20 p.m. and moves towards Delhi at an average speed of 80 km/hr. How far from Delhi will the two trains meet and at what time?with steps and explanation.
Answer» Answer: 170 KM from Delhi the two TRAINS meet and at 6 : 48 PM. Step-by-step explanation: Let x represent How far from Delhi the two trains will meet. TRAIN from Amritsar starts 40 MINUTES early = 40/60 hour. So, Distance covered in 40/60 hour = 80 × 40/60 = 160/3 km Distance left to cover = 450 - 160/3 = 1190/3 km Now, To reach at meeting point both trains take equal time. Thus using Speed Distance time FORMULA, we have. $\frac{x}{60}=\frac{\frac{1190}{3}-x}{80}$ $\frac{x}{60}=\frac{1190-3x}{240}$ $4x=1190-3x$ $4x+3x=1190-3x$ 7x = 1190 x = 170 Time taken by train from Delhi to cover 170 km = 170/60 = 2.8 hour = 2 hour 48 minutes. Time when both train meet = 4 : 00 + 2 : 48 = 6 : 48 PM Therefore, 170 km from Delhi the two trains meet and at 6 : 48 PM.

The distance between two stations, Delhi and Amritsar, is 450 km. A train starts at 4 p.m. from Delhi and moves towards Amritsar at an average speed of 60 km/hr. Another train starts from Amritsar at 3.20 p.m. and moves towards Delhi at an average speed of 80 km/hr. How far from Delhi will the two trains meet and at what time?with steps and explanation.

Answer»

Answer:

170 KM from Delhi the two TRAINS meet and at 6 : 48 PM.

Step-by-step explanation:

Let x represent How far from Delhi the two trains will meet.

TRAIN from Amritsar starts 40 MINUTES early = 40/60 hour.

So,

Distance covered in 40/60 hour = 80 × 40/60 = 160/3 km

Distance left to cover = 450 - 160/3 = 1190/3 km

Now, To reach at meeting point both trains take equal time.

Thus using Speed Distance time FORMULA, we have.

$\frac{x}{60}=\frac{\frac{1190}{3}-x}{80}$

$\frac{x}{60}=\frac{1190-3x}{240}$

$4x=1190-3x$

$4x+3x=1190-3x$

7x = 1190

x = 170

Time taken by train from Delhi to cover 170 km = 170/60 = 2.8 hour = 2 hour 48 minutes.