Problems on Trains

The ratio of the ages of Anu and Aditi is $3:8$ and after $5$ years the ratio of the ages of Aditi to Ambi is $7:5$. If the sum of the ages of Aditi, Ambi, and Anu is $32$ years, what is Anu’s present age?

A train starts from Delhi to Mumbai with a speed 45 km/hour. At the same time, another train starts from Mumbai to Delhi. After passing each other if they take 4 hours 48 minutes and 3 hours and 20 minutes to reach Mumbai and Delhi respectively then what is the speed of the train starts from Mumbai?

Shatabdi express of length ‘a’ meter travelling at 72 kmph can cross an old man who is sitting on a platform in 20 seconds but at the speed of 144 kmph train crosses the platform in 32 seconds.

Quantity I: What is the length of the platform?

Quantity II: 800 meters

Train A leaves New York for Huston at 4:00 AM, Train B leaves from Huston to New York 30 min after train A and both trains meet each other at 7:30 AM. If distance between the two cities is ____ Km then speeds of the train A and train B should be ____ and _____ respectively.

Which of the following set of numbers satisfies the three blanks given in the question?

(a) 455, 70, 68  

(b) 466, 74, 69

(c) 812, 124, 126   

Two trains running in opposite directions crossed each other in 'T' sec. The ratio of their speed and length respectively are $5:3$ and $4:5$. If the slower train crossed a man standing across the track in $10$ seconds, then find the value of 'T'.

Length of the longer train is $108 \mathrm{m}$ more than the shorter train. The ratio of the speeds of the shorter and longer trains is $4: 5$. If they can cross each other in $13$ seconds while moving in the opposite direction, and the length of the shorter train is $180 \mathrm{m}$, then calculate the time taken by faster train to cross a pole?

A man standing on a platform finds that a train takes 6 seconds to pass him and another train of the same length moving in the opposite direction, pass him in 9 seconds. The time taken by the trains to pass each other will be:

Two trains coming from opposite direction crosses each other in 12 sec. If the length of first train and second train be 320 m and 160 m respectively and the speed of first train be 36 km/h, find the speed of second train (in km/h)?

Find the time required by a $100 \mathrm{m}$ long train to cross a $150 \mathrm{m}$ long bridge, at the rate of $36 \mathrm{kmph}$.

The average speed of a train is  times the average speed of a car. The car covers a distance of 588 km in 6 hours. How much distance will the train cover in 13 hours?

The length of a train and that of a platform are equal. If at a speed of 90 km/hr, the train crosses the platform in one minute, then the length of the train (in metres) is:

The length of the bridge, which a train 130 meter long and travelling at 45 km/hr can cross in 30 seconds, is:

A 240 metres long train moving with the speed of 108 km/hr crosses a platform in 20 s. A man crosses the same platform in 5 minutes. What is the speed of the man (in m/s)?

A train 125 m long passes a man, running at 5 kmph in the same direction in which the train is going, in 10 seconds. The speed of the train is:

A train travells at average speed of 100 km / hr, it stops for 3 mins after travelling 75 kms of diatance. How long it takes to reach 600 kms from the starting point.

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds.What is the length of the platform?

A train moves with a speed of 108 kmph. Its speed in metres per second is:

The average speed of a train is 3 times the average speed of a car. The car covers a distance of 520 kms in 8 hours. How much distance will the train cover in 13 hours?

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train in 54 km/hr, what is the length of the platform?

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is: