### Aptitude - Time And Distance

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

A.  3.6

B.  7.2

C.  8.4

D.  10

7.2

Explanation :

Speed = 600 / (5x60) = 2 m/sec

converting m/sec into km/hr

= 2 x (18/5) km/hr = 7.2 km/hr

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 (2/3) hours, it must travel at a speed of:

A.  300 kmph

B.  360 kmph

C.  600 kmph

D.  720 kmph

720 kmph

Explanation :

Distance = (240 x 5) = 1200 km

Speed = Distance/Time

Speed = 1200/(5/3) km/hr

=> Required Speed = 1200 x (3/5) km/hr = 720 km/hr

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

A.  50 km

B.  55 km

C.  60 km

D.  65 km

50 km

Explanation :

Let the actual distance travelled be X km

Then x/10 = (x+20) / 14

=> x = 50 km

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

A.  100 kmph

B.  110 kmph

C.  120 kmph

D.  130 kmph

120 kmph

Explanation :

Let speed of the car be x kmph

Then, speed of the train = (150/100)x = (3/2)x kmph

=> 75/x - 75/(3/2)x = 125/(10x60)

=> 75/x - 50/x = 5/24

=> x = 120 kmph

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A.  9

B.  10

C.  11

D.  12

10

Explanation :

Due to stoppages, it covers 9 km less

Time taken to cover 9 km = (9/54) x 60 min = 10 min

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

A.  1 hour

B.  2 hours

C.  3 hours

D.  4 hours

1 hour

Explanation :

Let the duration of the flight be x hours

Then, (600/x) - (600/(x+1/2)) = 200

=> (600/x) - (1200/(2x+1)) = 200

=> x(2x+1) = 3

=> 2x² + x - 3 = 0

=> (2x+3) (x-1) = 0

=> x = 1 hr (neglecting the -ve value of x)

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km

A.  214 km

B.  224 km

C.  234 km

D.  244 km

224 km

Explanation :

[ (1/2)x / 21 ] + [ (1/2)x / 24 ] = 10

=> (x/21) + (x/24) = 20

=> 15x = 168 x 20

=> x = 224 km

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:

A.  70.5 km/hr

B.  75.5 km/hr

C.  84.5 km/hr

D.  87.5 km/hr

87.5 km/hr

Explanation :

Let the speed of two trains be 7x and 8x km/hr respectively

Then, 8x = (400/4) = 100

=> x = (100/8) = 12.5

=> Speed of first train = (7 x 12.5) km/hr = 87.5 km/hr

A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

A.  35.55 km/hr

B.  36 km/hr

C.  71.11 km/hr

D.  71 km/hr

71.11 km/hr

Explanation :

Total time taken = [ (160/64) + (160/80) ] hrs = 9/2 hrs

=> Average speed = 320 x (2/9) km/hr = 71.11 km/hr

A car travelling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

A.  20 km/hr

B.  25 km/hr

C.  30 km/hr

D.  35 km/hr

35 km/hr

Explanation :

Time taken = 1 hr 40 min 48 sec = 1 hr 40 (4/5) min = 1 (51/75) hrs = (126/75) hrs

Let the actual speed be X km/hr

Then, (5X/7) x (126/75) = 42

=> X = (42 x 7 x 75) / (5 x 126) = 35 km/hr

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 than Sameer. Abhay's speed is:

A.  5 kmph

B.  6 kmph

C.  7 kmph

D.  8 kmph

5 kmph

Explanation :

Let Abhay's speed be x km/hr

Then, (30/x) - (30/2x) = 3

=> 6x = 30

=> x = 5 km/hr

Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

A.  8 kmph

B.  10 kmph

C.  12 kmph

D.  14 kmph

12 kmph

Explanation :

Let the distance travelled by x km

Then, (x/10) - (x/15) = 2

=> 3x - 2x = 60

=> x = 60 km

Time taken to travel 60 km at 10 km/hr = (60/10) hrs = 6 hrs

So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.

=> Required speed = (60/5) kmph = 12 kmph

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

A.  2 : 3

B.  3 : 2

C.  3 : 4

D.  4 : 3

3 : 4

Explanation :

Let the speed of the train be x km/hr and that of the car be y km/hr

Then, (120/x) + (480/y) = 8 => (1/x) + (4/y) = 1/15 ..... (i)

And, (200/x) + (400/y) = 25/3 => (1/x) + (2/y) = 1/24 ..... (ii)

Solving (i) and (ii), we get x = 60 and y = 80

=> Ratio of speeds = 60 : 80 = 3 : 4

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

A.  14 km

B.  15 km

C.  16 km

D.  17 km

16 km

Explanation :

Let the distance travelled on foot be x km

Then, distance travelled on bicycle = (61-x) km

So, (x/4) + ((61-x)/9) = 9 x 36

=> 5x = 80

=> x = 16 km

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:

A.  35

B.  36

C.  39

D.  40

40

Explanation :

Let distance = x km and usual rate = y kmph

Then, (x/y) - (x/(y+3)) = 40/60 => 2y(y+3) = 9x ..... (i)

And, (x/(y-2)) - (x/y) = 40/60 => y(y-2) = 3x ..... (ii)

On dividing (i) by (ii), we get x = 40

A train 150 meters long running at a speed of 60 kmph takes 30 seconds to cross a bridge. The length of the bridge is,

A.  350m

B.  450m

C.  300m

D.  400m

350m

Explanation :
No Explanation available for this question

A jogger running at 9 kmph alongside a railway track is 240 meters ahead of the engine of a 120 meter long train running at 45 kmph in the same direction. How much time will the train pass the jogger?

A.  3.6 sec

B.  18 sec

C.  36 sec

D.  72 sec

36 sec

Explanation :

Speed of train relative to jogger = (45 - 9) km/hr = 36 km/hr.

 = 36 x 5 m/sec 18

= 10 m/sec.

Distance to be covered = (240 + 120) m = 360 m.

 Time taken = 360 sec = 36 sec. 10

3 pipes can fill a reservoirin 10,15 and 20 hrs. resp. The first was opened at 5 a.m. , the second at 6 a.m., third at 7 a.m. When will the reservoir the filled?

A.  5:20a.m

B.  6:30 a.m.

C.  10:20 a.m.

D.  4 p.m.

10:20 a.m.

Explanation :
No Explanation available for this question

Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?

A.  36 meters

B.  48 meters

C.  60 meters

D.  72 meters

48 meters

Explanation :
No Explanation available for this question

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

A.  9

B.  10

C.  11

D.  12

12

Explanation :
No Explanation available for this question

In a game of 100 points, A can give B 20 points and C 28 points. Then, B a start of 8 m and still beats him by 8 sec. The speed of B is

A.  8 points

B.  10 points

C.  14 points

D.  40 points

10 points

Explanation :
No Explanation available for this question

A train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train?

A.  270 m

B.  210 m

C.  340 m

D.  130 m

270 m

Explanation :
No Explanation available for this question

A dog taken 4 leaps for every 5 leaps of a hare but three leaps of the dog is equal to 4 leaps of the hare. Compare their speeds

A.  16:15

B.  12:16

C.  19:20

D.  10:12

16:15

Explanation :
No Explanation available for this question

A man was traveling on a motorcycle at the speed of 50 km/h for 2 1/2hours. Then a car full of youngster overtake him at a speed of 80 km/h. To overtake them he increased his speed to 70 km/h, but he could not overtake the car even after 2 1/2hours. How far did he travel in the total time of 4 hours?

A.  200 km

B.  230 km

C.  250 km

D.  300 km

230 km

Explanation :
No Explanation available for this question

The distances from A to B, B to C and C to D, are 12 kms. each. A man runs from A to B at a speed of X kms/hour. After reaching B, he rests for X hours and runs from B to C at double the previous speed. At C he rests for 2 X hours and runs from C to D at double his speed from B to C. He reaches D in 16 hrs after starting from A. Then a possible value of X is

A.  2 kms/hour

B.  3 kms/hour

C.  5 kms/hour

D.  None of these

5 kms/hour

Explanation :
No Explanation available for this question

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is;

A.  35

B.

C.

D.  40

40

Explanation :
No Explanation available for this question

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

A.  50 km

B.  56 km

C.  70 km

D.  80 km

50 km

Explanation :
No Explanation available for this question

A boat can travel with a speed of 13km/hr in still water .if the speed of the stream is 4km /hr  Find the time taken by the boat to go 68km downstream

A.  2hours

B.  3 hours

C.  4hours

D.  5 hours

4hours

Explanation :
No Explanation available for this question

If both the pipes are opened, how many hours will be taken to fill the tank? I. The capacity of the tank is 400 litres. II. The pipe A fills the tank in 4 hours. III. The pipe B fills the tank in 6 hours.

A.  Only I and II

B.  Only II and III

C.  All I, II and III

D.  Any two of the three

Only II and III

Explanation :
No Explanation available for this question

A man can row three-quarters of a kilometer against the stream in 11 ¼ minutes. The speed (in km/hr) of the man in still water is:

A.  4 ¼ km/hr

B.  5 km/hr

C.  6 km/hr

D.  7 km/hr