top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

Distance between two stations is 400km. Two trains start simultaneously from these stations...

0 votes
426 views

The distance between two stations is 400km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than the other by 5 km/hr. If the distance between the two trains after two hours of their start is 170 km, find the speed of each train?

posted Sep 30, 2018 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

2 Answers

0 votes

Speed of Train 1 = S1
Speed of Train 2 = S2 = S1 + 5
This problem can be simplified if we add the speed of train 1 to train 2 (because the relative velocities add up). This makes the train 1 stationary at the first station.
After 2 hours the distance between the trains = 170Km
The distance travelled by train 2 in 2 Hrs = 400 - 170 = 230Km
Therefore speed of Train 2 = S1 + S1 + 5 = 2S1 + 5 = 230/2
S1 = 55Km/hr & S2 = 60Km/hr.

answer Sep 30, 2018 by Tejas Naik
0 votes

55 km/hr & 60 km/hr

Tr1 speed = x km/hr
Tr2 speed =x+5 km/hr
(x+x+5)*2=400-170 => 4x=220 => x=55 km/hr, y=60 km/hr

answer Sep 30, 2018 by Hanifa Mammadov



Similar Puzzles
0 votes
What is the distance between the two stations?

Two trains start at the same time from Jaipur and Agra and proceed towards each other at 16 kmph and 24 kmph respectively.
When they meet it is found that one train has traveled 72 km more than the other.
What is the distance between the two stations?

0 votes
The distance between two places R and S is 42 km. Anita starts from R with a uniform speed of 4 km/hr.............

The distance between two places R and S is 42 km. Anita starts from R with a uniform speed of 4 km/hr towards S and at the same time Romita starts from S towards R also with some uniform speed.
They meet each other after 6 hours.
What is the speed of Romita?

+1 vote
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards.........

Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

0 votes
What is the total distance that the supersonic bird has traveled till the trains collided?

Accidentally, two trains are running in the opposite direction and enter a tunnel that is 200 kms long. A supersonic bird that has fled the lab and taken shelter in the tunnel starts flying from one train towards the other at a speed of 1000 kmph. As soon as it reaches the second train, he starts flying back to avoid collision and meets the first train again at the other end. The bird keeps flying to and fro till the trains collide with each other.

What is the total distance that the supersonic bird has traveled till the trains collided?

0 votes
What is the sum of the lengths of two trains that will protrude from the tunnels at the exact moment that they collide?

Two trains, each two miles long, enter two one mile long tunnels that are two miles apart from one another on the same track. The trains enter the tunnels at exactly the same time. The first train is going 5 miles/hour, and the second train is going 10 miles/hour. What is the sum of the lengths of the two trains that will protrude from the tunnels at the exact moment that they collide, assuming that neither train changes its speed prior to collision? The trains are on the same track headed in opposite directions (i.e. directly toward one another).

...