58
Q:

# The distance of the college and home of Rajeev is 80km. One day he was late by 1 hour than the normal time to leave for the college, so he increased his speed by 4km/h and thus he reached  to college  at the normal time. What is the changed (or increased) speed of Rajeev?

 A) 28 km/h B) 30 km/h C) 40 km/h D) 20 km/h

Explanation:

Let the normal speed be x km/h, then

$80x-80(x+4)=1$

$⇒$$x2+4x-320=0$

$⇒$x (x + 20) - 16 (x + 20) = 0

(x + 20 ) (x - 16) =0

x = 16 km/h

Therefore (x + 4) = 20 km/h

Therefore increased speed = 20 km/h

Q:

The distance between two stations, A and B, is 428 km.A train starts from station ‘A’ at 6:00 a.m. and moves towards station ‘B’ at an average speed of 48 km/h. Another train starts from station ‘B’ at 6:20 a.m. and moves towards station ‘A’ at an average speed of 55 km/h. At what time will the trains meet?

 A) 10 : 20 a.m. B) 9 : 40 a.m. C) 10 : 40 a.m. D) 10:00 a.m.

Explanation:

0 5
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:

1 124
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:

2 64
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:

2 104
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

Explanation:

0 115
Q:

A student takes 1.25 hours to travel from home to school at a speed of 4 km/h. By what percentage should he increase his speed to reduce the time by 25% to cover the same distance from school to home?

 A) 3313°° B) 50°° C) 45°° D) 25°°

Explanation:

0 97
Q:

Two cyclists X and Y start at the same time from place A and go towards place B at a speed of 6 km/h and 8 km/h,respectively. Despite stopping for 15 minutes during the journey, Y reaches 10 minutes earlier than X. The distance between the places A and B is:

 A) 6 km B) 16.5 km C) 8 km D) 10km

Explanation:

0 531
Q:

A train crosses a platform 180 m long in 60 sec at a speed of 72 km/h. The time taken by the train to cross an electric pole is:

 A) 51 sec B) 0.51 min C) 5.1 sec D) 5.1 min