At what time will the train reach city A from city B?

I. The train crosses another train of equal length of 300 metres and running in opposite direction in 22.5 seconds.

II. The train leaves city B at 8.15 a.m. for city A situated at a distance of 837 km.

III. The train crosses a lamp post in 15 seconds.

II only

No worries! We‘ve got your back. Try BYJU‘S free classes today!

III only

No worries! We‘ve got your back. Try BYJU‘S free classes today!

II and Ill only

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

All I, II and III are required.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
II and Ill only

$I I I g i v e s, s p e e d = \frac{300}{15} m / s = 20 m / s = (20 \times \frac{18}{5}) k m / h r = 72 k m / h r . I I g i v e s, t i m e t a k e n = (\frac{837}{72}) h r s = \frac{93}{8} h r s = 11 h r s 37 m i n 30 s e c s . S o, t h e t r a i n w i l l r e a c h c i t y A a t 7 : 52 : 30 p . m . I g i v e s, r e l a t i v e s p e e d o f t r a i n = \frac{600}{22.5} = 26.67$

Since I is insufficient as speed and direction of another train is not given, thus statement II and III together determines the time.

Suggest Corrections

Similar questions

Q. At what time will the train reach city X from city Y?
I. The train crosses another train of equal length of 200 metres and running in opposite directions in 15 seconds.
II. The train leaves city Y and 7.15 a.m. for city X situated at a distance of 558 km.
III. The 200 metres long train crosses a signal pole in 10 seconds.

How much time will the train X take to cross another train Y running in opposite direction?

I. Train X crosses a lamp post in 9 seconds.

II. Ratio of the speeds of trains X and Y is 3:2.

III. Length of the two trains together is 750 metres.

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

What is the length of the train A?
I. Train A crosses a lamp post in 15 seconds.
II. Train A crosses a platform of length 600 m in 75 seconds.
III. Train A passes through a tunnel 300 m long in 45 seconds.

I. These two trains take 12 seconds to cross each other.
II. These trains are running in opposite directions.
III. The length of train Q is 120 metres.

Q. A train crosses a signal post in X seconds. What is the length of the train?
(I) The train crosses a platform of 100 metres in Y seconds
(II) The train is running at the speed of 80 km/hr.

Join BYJU'S Learning Program