GATE General Aptitude - Time, Speed and Distance
Exam Duration: 45 Mins Total Questions : 25
A train running at \(\frac { 8 }{ 11 }\) of its own speed reached a place in \(5\frac { 1 }{ 2 } \) h. How much time could be saved, if the train would have run at its own speed?
- (a)
\( 2\frac { 1 }{ 2 } h\)
- (b)
2h
- (c)
\(1\frac { 1 }{ 2 } h\)
- (d)
1 h
Starting from his one day, a student walks at a speed of 3 Km/h and reaches his school 5 min late. Next day he increases his speed by 1 Km/h and reaches the school 3 min early. How far is the school from his house?
- (a)
1.6 km
- (b)
1.24 km
- (c)
1.36 km
- (d)
1.8 km
Excluding stoppages, the speed of a bus is 24 km/h and including stoppages, it is 20 km/h. For how many minutes does the bus stop per hour?
- (a)
8 min
- (b)
12 min
- (c)
10 min
- (d)
14 min
In a flight of 800 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/h and the time of flight increased by 20 min. The duration of the flight is
- (a)
\(\frac { 3 }{ 5 } h\)
- (b)
\(\frac { 1 }{ 2 } h\)
- (c)
1 h
- (d)
\(1\frac { 1 }{ 2 } h\)
Two cyclists start from the same place in opposite directions. One goes towards North at 12 km/h and the other goes towards South at 15 km/h. What time will they take to be 8.1 km apart?
- (a)
18 min
- (b)
17 min
- (c)
16 min
- (d)
15 min
Two trains start from A and B respectively and travel towards each other at the speeds of 60 km/h and 45 km/h respectively. By the time they meet, the first train has travelled 30 km more than the second. The distance between A and B is
- (a)
240 km
- (b)
180 km
- (c)
210 km
- (d)
175 km
A train X leaves P at 6 am and reaches Q at 10 am. Another train Y leaves Q at 8 am reaches P at 11.30 am. At what time do the two trains cross each other?
- (a)
8 : 24 am
- (b)
8 : 56 am
- (c)
9 am
- (d)
None of these
A man takes 4 h 20 min in walking to a certain place and riding back. He would have gained 1 h 30 min by riding both ways. The time he would take to walk both ways is
- (a)
5 h 50 min
- (b)
4 h 45 min
- (c)
5h 30 min
- (d)
4 h 30 min
A goods train runs at the speed of 63 km/h and crosses a 250 m long bridge in 28 s, what is the length of the goods train?
- (a)
230 m
- (b)
210 m
- (c)
250 m
- (d)
240 m
How many seconds will a 375 m long train take to cross a man walking with a speed of 2 km/h in the direction of the moving train, if the speed of the train is 56 km/h?
- (a)
25 s
- (b)
24 s
- (c)
28 s
- (d)
21 s
Two trains of length 250 m and 140 m are running on parallel lines in the same direction at 58 km/h and 32 km/h respectively. Find the time taken by the slower train to pass the driver of the faster one.
- (a)
58 s
- (b)
54 s
- (c)
52 s
- (d)
48 s
Two trains, one from A to B and the other from B to A, start simultaneously. After they meet, the trains reach their destinations after 4 h and 9 h respectively. The ration of their speeds is
- (a)
3 : 2
- (b)
1 : 2
- (c)
3 : 1
- (d)
Cannot be determined
A boat running downstream covers a distance of 12 km in 2 h while for covering the same distance upstream it takes 3 h. What is the speed of the boat in still water?
- (a)
8 km/h
- (b)
4 km/h
- (c)
5 km/h
- (d)
9 km/h
A boat running upstream takes 5 h 12 min to cover a certain distance, while it takes 4 h to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
- (a)
23 : 3
- (b)
21 : 2
- (c)
25 : 7
- (d)
28 : 9
A man can row \(9\frac { 1 }{ 2 } \) km/h in still water. If in a river which is running at \(2\frac { 1 }{ 2 } \) km/h, it takes him 1 h 35 min to row to a place and back, how far off is the place?
- (a)
8.6 km
- (b)
8 km
- (c)
8.4 km
- (d)
7 km
In a stream running at 2 km/h, a motorboat goes 5 km upstream and back again to the starting point in 1 h 20 min. Find the speed of te motor boat in still water.
- (a)
4 km/h
- (b)
8 km/h
- (c)
10 km/h
- (d)
6 km/h
A boat covers 25km upstream and 24 km downstream in 16 h while it covers 20 km upstream and 30 km downstream in \(15\frac { 1 }{ 2 } h\) . The speed of the current is
- (a)
\(\frac { 1 }{ 2 } km/h\)
- (b)
\(\frac { 3 }{ 4 } km/h\)
- (c)
\(\frac { 1 }{ 8 } km/h\)
- (d)
\(\frac { 2 }{ 3 } km/h\)
A worker may claim Rs 15 each km which he travels by taxi and Rs 5 for each km which he drives his own car. If in one week he claimed Rs 500 for travelling 80 km, how many km did he travel by taxi?
- (a)
10
- (b)
20
- (c)
30
- (d)
80
A boat travels upstream from Q to P and downstream from p to Q in 3 h. If the distance between P to Q is 4 km and the speed of the current is 1 km/h , then what is the speed of the boat in still water?
- (a)
1.5 km/h
- (b)
5.2 km/h
- (c)
4.5 km/h
- (d)
3 km/h
A, B and C are three participants in a kilometer race. If A can give B a start of 40 m and B can give C a start of 25 m, how many meters of a start can A give to C?
- (a)
60 m
- (b)
64 m
- (c)
62 m
- (d)
66 m
A and B run a 5 km race on a round course of 400 m. If their speeds be in the ratio 5:4 , how often does the winner pass the other?
- (a)
\(4\frac { 1 }{ 2 } times\)
- (b)
\(2\frac { 3 }{ 4 } times\)
- (c)
\(3\frac { 1 }{ 2 } times\)
- (d)
\(2\frac { 1 }{ 2 } times\)
A ship 55 km from the shore springs a leak which admits 2 ton of water in 6 min; 80 ton would suffice to sink her, but the pumps can throws out 12 ton an hour. The average rate of sailing that she may just reach the shore as she begins to sink is
- (a)
9.17 km/h
- (b)
0.97 km/h
- (c)
55 km/h
- (d)
5.5 km/h
In case of 200m, A beats S by 20 m and N by 40 m. If S and N are running a race of 100m with exactly same speed as befoe, then by how many metres will S beat N?
- (a)
11.11 m
- (b)
10 m
- (c)
12 m
- (d)
25 m
A man can walk up moving "up" escalator in 30 s. The same man can walk down this moving "up" escalator in 90 s. Assume that his walking speed is same upwards and downwards. How much time will he take to walk up the escalator, when it is not moving?
- (a)
30 s
- (b)
45 s
- (c)
60 s
- (d)
90 s
A man travelled 5 miles in the second hour of his trip. This was 1/4th more than he travelled in the first hour. In the third hour, he travelled 1/5 th more than he did in the second. How far he travels in the three hours?
- (a)
6 miles
- (b)
20 miles
- (c)
13-4/5 miles
- (d)
15 miles
1654060945.png)
1654060942.png)
1653987551.png)
1653987086.png)
1582095229.jpg)
