Question

A train start from P @ 8 pm and reaches Q at 11pm .Another train starts from Q. at 6pm and reaches P at 11pm .Find at what time they will meet each other ?​

Answer 1

Step-by-step explanation:

Here, we need to understand that distance D is the same for Train X and Train Y.

Let the distance between two points be "D miles”

Speed (S) = Distance (D) / Time (T)

Speed of X = D/8 = D/8 miles/h

Speed of Y = D/7 = D/7 miles/h

Suppose X meets Y after completing traveling ‘x miles’ Traveling for tx hours and Y travelled ty hours

tx = ty

Time = Speed / Distance

(D/8) / x = (D/7) / (D — x)

=>

x / (D/8) = (D — x) / (D/7)

8x/ D = 7(D — x) / D

=> 8x = 7D — 7x

=> 15x = 7D

=> x = 7D/15

Now, X travels D/8 miles — per hour

To travel 7D/15 miles — How many hours

Number of Hours = (7D/15) x 1 / (D/8)

                        = 56/15

                        = 3.733

1 hr — 60 min

0.73 hrs - ? Min = 42 minutes

So, the train X travelled for around 3 hour 42 minutes to meet Y

It started at 8:00 AM. So, it met train Y at 8 + 3 hr 42 minutes = 11:42 A.M ≈ 11:44