38
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:

Places A and B are 144 km apart. Two cars start simultaneously, one from A and the other from B. If they move in the same direction, they meet after 12 hours, but if they move towards each other they meet after 9/8 hours. The speed (in km/h)of the car moving at a faster speed, is:

 A) 70 B) 72 C) 60 D) 64

Explanation:

2 197
Q:

A flight covering a distance of 1200 kin could reduce the travel time by 30 minutes, due to an additive tailwind that increases the average speed by 120 km/hr. What was the duration of the flight in hours?

 A) 2.2 hours B) 1.9 hours C) 1.8 hours D) 2 hours

Explanation:

0 254
Q:

A private taxi company charges a fixed charge along with a per kilometer charge based on the distance covered. For a journey of 24km, the charges paid are ₹368 and for a journey of 32 km, the charges paid are ₹464. How much will a person have to pay for traveling a distance of 15 km?

 A) ₹ 280 B) ₹ 180 C) ₹ 260 D) ₹ 290

Explanation:

2 232
Q:

If Raj drives faster by 10 km/h, he reaches his village 90 minutes early. If he drives slower by 10 km/h, he reaches the village 150 minutes late. Find the distance he travels.

 A) 500 km B) 400 km C) 600 km D) 300 km

Explanation:

4 396
Q:

The distance between two places A and B is 245 km. TWo cars, one from A and the other from B, start at the same time, travelling towards each other. If one car travels at a speed of 40 km/h and the other at 30 km/h , after how many hours will they meet?

 A) 234 hours B) 3 hours C) 312  hours D) 2 hours

Explanation:

4 290
Q:

Mehek goes for a stroll from her home. She starts walking facing the Sun at 6:00 am in the morning and walks 1 km straight. At a crossroads, she takes a right turn and then walks 1 km. Finally, she takes a U- turn and walks again for 1 km. How far is she from her home?

 A) 3 km B) 1 km C) 2 km D) 4 km

Explanation:

2 207
Q:

Jayant covers a certain distance in $212$ hours at a speed of 54 km/h . How much time will Prabhu take to cover the same distance at a speed of 72 km/h ?

 A) 212hours B) 3hours C) 215hours D) 178hours