Question

A train leaves a station and travels north at a speed of 75 mph. Two hours later, a second train leaves on a parallel track and travels north at 105 mph. How far from the station will they meet?

Answer 1

Answer:

At a distance of 525 km from the station both trains meet.

Step-by-step explanation:

Speed of the first train $S_{1}$ = 75 $\frac{m}{hr}$

Speed of the second train $S_{2}$ = 105 $\frac{m}{hr}$

Distance traveled by first train in two hours = 75 × 2 = 150 km

When the first train traveled a distance of 150 km than second train starts from the station.

Let suppose the two trains meet after T hours.

Value of T is given by

$T = \frac{D}{S_{1} - S_{2} }$

Put the value of D & $S_{1}$ & $S_{2}$ we get

$T = \frac{150}{105 - 75}$

T = 5 hours

Thus the two trains meet after 5 hours &

⇒ Distance from the station is = Speed of second train × 5

⇒ Distance from the station is = 105 × 5

⇒ Distance from the station is = 525 km

Therefore at a distance of 525 km from the station both trains meet.