# Speed, Time and Distance ( 16 to 20 )

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Speed Time and Distance ( 16 to 20 ):

# APTITUDE QUESTIONS (SPEED TIME AND DISTANCE):

16. Three persons are walking from a place X to another place Y. Their speeds are in the ratio of 3: 4: 5. The time ratio to reach Y by these persons will be:

A)    4 : 3: 5

B)    5 : 3 :4

C)    15 : 9 : 20

D)    20 : 15 : 12

E)    None of these

Explanation:

Ratio of speeds = 3:4:5
∴ time taken = 1/3 : 1/4 : 1/5 = 20 : 15 : 12

17. A and B women start together to walk to a particular destination, one at 3 kmph and another at 3.75 kmph respectively. Then, the latter arrives half an hour before the former. The distance is:

A)    6 km

B)    7.5 km

C)    8 km

D)    9.5 km

E)    None of these

Explanation:

Let the distance be x km.
So, x/3 – x/3.75 = 1/2  2.5x – 2x = 3.75  x = 3.75/0.50 = 15/2 = 7.5 km

18. 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)    66 km

C)    90 km

D)    80 km

E)    None of these

Explanation:

Let the actual distance travelled be x km.
So, x/10 = (x+20)/14  14x = 10x + 200  4x = 200  x = 50 km.

19. X is twice as fast as Y and Y is thrice as fast as Z is. The journey covered by Z in 54 minutes will be covered by Y in:

A)    18 min

B)    27 min

C)    38 min

D)    9 min

E)    None of these

Explanation:

Let Z’s speed = x km/hr. Then, Y’s speed = 3x km/hr and X’s speed = 6x km/hr
∴ Ratio of speed of X, Y and Z = 6x : 3x : x = 6 : 3 : 1
Time taken = 1/6 : 1/3 : 1 = 1: 2: 6
If Z takes 6 min, then Y takes 2 min.
If Z takes 54 min, then Y takes (2/6*54) min = 18 min

20. Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. How much time will they take to be 8.5 km apart, if they walk in the same direction?

A)    4 hrs

B)    8 hrs

C)    16 hrs

D)    17 hrs

E)    None of these

Explanation:

They took 1 hour to be 0.5 km apart.
To be 8.5 km apart, they take (1/0.5*8.5) hrs = 17 hrs.