Q.1
A car completed a journey of 400 km in $$12\frac{1}{2}$$ hrs. The first $$\frac{3}{4}$$ of the journey was done at 30 km/hr. Calculate the speed for the rest of the journey.
Q.2
Two trains of equal length take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction ?
Q.3
A motorcyclist completes a certain journey in 5 hours. He covers one-third distance at 60 km/hr and the rest at 80 km/hr. The length of the journey is :
Q.4
A thief, pursued by a policeman, was 100 m ahead at the start. If the ratio of the speed of the policeman to that of the thief was 5 : 4, then how far could the thief go before he was caught by the policeman ?
Q.5
Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ?
Q.6
Raj and Prem walk in opposite direction at the rate 3 km/hr and 2 km per hour respectively. How far will they be from each other after 2 hrs ?
Q.7
The ratio of lengths of two trains is 5 : 3 and the ratio of their speeds is 6 : 5. The ratio of time taken by them to cross a pole is ?
Q.8
A thief steals a car at 1.30 pm and drive it off 40 km/hr. The theft is discovered at 2 pm and the owner sets off in another car at 50 km/hr he will catch the thief at :
Q.9
In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less then Sameer. Abhay's speed (in km/hr) is :
Q.10
If a train with a speed of 60 km/hr. crosses a pole in 30 seconds. The length of the train (in metres) is :
Q.11
A train 300 metres long takes 40 seconds to cross a platform 900 metres long. The speed of the train in, km per hour is :
Q.12
A train is moving at a speed of 80 km/hr and covers a certain distance in 4.5 hours. The speed of the train to cover the same distance in 4 hours is :
Q.13
Two cyclists, k kilometres apart, and starting at the same time, would be together in r hours if they travelled in the same direction, but would pass each other in t hours if they travelled in opposite directions. The ratio of the speed of the faster cyclist to that of the slower is :
Q.14
A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is :
Q.15
A person, who can walk down a hill at the rate of $$4\frac{1}{2}$$ km/hr and up the hill at the rate of 3 km/hr. He ascends and comes down to his starting point in 5 hours. How far did he ascend ?
Q.16
A man is walking at a speed of 10 kmph. After every km, he takes rest for 5 minutes. How much time will he take to cover a distance of 5 km ?
Q.17
How much time does a train 50 m long, moving at 68 km/hr takes to pass another train 75 m long moving at 50 km/hr in the same direction ?
Q.18
In a 100 metres race, Kamal defeats Bimal by 5 seconds. If the speed of Kamal is 18 kmph, then the speed of Bimal is :
Q.19
At an average speed of 80 km/hr Shatabdi Express reaches Ranchi from Kolkata in 7 hrs. Then the distance between Kolkata and Ranchi is :
Q.20
Two trains, one 160 m and the other 140 m long are running in opposite directions on parallel tracks, the first at 77 km an hour and the other at 67 km an hour. How long will they take to cross each other ?
Q.21
A man travelled a certain distance train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, the distance was :
Q.22
A car can finish a certain journey in 10 hours at a speed of 42 kmph. In order to cover the same distance in in 7 hours, the speed of the car (km/h) must be increased by :
Q.23
A train travelling at a speed of 30 m/sec crosses a platform, 600 metres long in 30 seconds. The length (in metres) of train is :
Q.24
The distance between place A and B is 999 km. An express train leaves place A at 6 am and runs at a speed of 55.5 km/hr. The train stops on the way for 1 hour 20 minutes. It reaches B at :
Q.25
A constable is 114 metre behind a thief. The constable runs 21 metres per minute and the thief runs 15 metres in a minute. In what time will the constable catch the thief ?
Q.26
A boy rides his bicycle 10 km at an average speed of 12 km/hr and travells 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately :
Q.27
A man cycles at the speed of 8 km/hr and reaches office at 11 am and when he cycles at the speed of 12 km/hr, he reaches office at 9 am. At what speed should he cycle so that he reaches his office at 10 am ?
Q.28
A car covers the first 39 kms of its journey in 45 minutes and covers the remaining 25 km in 35 minutes. What is the average speed of the car ?
Q.29
A train travels at a speed of 30 km/hr for 12 minutes and at a speed of 45 km/hr for the next 8 minutes. The average speed of the train for this journey is :
Q.30
A man completed a certain journey by a car. If he covered 30% of the distance at the speed of 20 km/hr, 60% of the distance at 40 km/hr and the remaining distance at 10 km/hr, his average speed for the whole journey was :
0 h : 0 m : 1 s