39
Q:

# A train with 120 wagons crosses Arun who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the Arun ( he is riding on the horse) before it starts overtaking the Sriram( who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time (in seconds) after the train has crossed the Sriram do the Arun meets to Sriram?

 A) 3560 sec B) 3600 sec C) 3576 sec D) can't be determined

Explanation:

Let the length of the train be L metres and speeds of the train Arun and Sriram be R, A and S respectively, then

$LR-A=36$ ---------- (i)

and $LR+K=24$ ---------(ii)

From eq.(i) and (ii)

3(R - A ) = 2 (R + K)

$⇒$  R = 3A + 2K

In 30 minutes (i.e 1800 seconds), the train covers 1800R (distance) but the Arun also covers 1800 A (distance) in the same time. Therefore distance between Arun and Sriram, when the train has just crossed Sriram

= 1800 ( R - A) - 24 ( A + K)

Time required = $1800(R-A)-24(A+K)(A+K)$

= (3600 - 24) = 3576 s

Q:

A car covers 25 km at a uniform speed. If the speed had been 8 knv/h more, it would have taken 10 hours less for the same journey. What is the speed of the car (in km/h)?

 A) 4 B) 3 C) 2.5 D) 2

Explanation:

1 125
Q:

The ratio between the speeds of two trains is 5 : 7. If the first train covers 300 km in 3 hours, then the speed (in km/h) of the second train is:

 A) 100 B) 150 C) 140 D) 120

Explanation:

0 157
Q:

The ratio between the speeds of two trains is 2 : 5. If the first train runs 350 km in 5 h, then the difference between the speeds (in km/h) of both the trains is:

 A) 350 B) 105 C) 165 D) 180

Explanation:

2 405
Q:

Given that the lengths of the paths of a ball thrown with different speeds by two boy sare the same, if they take 0.6 seconds and 1 second respectively to cover the said length, what is the average speed of travel for the first throw, if the same for the second is 96 km/h?

 A) 160 km/h B) 200 km/h C) 150 km/h D) 100 km/h

Explanation:

1 414
Q:

A man divided his journey into three parts of distances of 18 km, 20 km and 27 km. He travelled the distances at the speeds of 6 km/h, 5 km/h and 9 kn/h,respectively. What was his average speed during the entire journey?

 A) 6.5 km/h B) 4.5 km/h C) 7.5 km/h D) 5.5 km/h

Explanation:

2 655
Q:

The distance between two railway stations is 1176 km. To cover this distance, an express train takes 5 hours less than a passenger train while the average speed of the passenger train is 70 km/h less than that of the express train. The time taken by the passenger train to complete the travel is:

 A) 12 hours B) 23 hours C) 17 hours D) 18 hours

Explanation:

2 756
Q:

The distance between the places H and O is D units. The average speed that gets a person from H to O in a stipulated time is S units. He takes 20 minutes more time than usual if he travels at 60 km/h, and reaches 44 minutes early if he travels at 75 km/h. The sum of the numerical values of D and S is:

 A) 376 B) 358 C) 344 D) 384

Explanation:

0 489
Q:

A train that is running at the speed of 72 km/h crossesan electric pole in 36 seconds. The length of the train (in metres) is:

 A) 720 m B) 460 m C) 360 m D) 620 m