RejinpaulPlacement
Search

Time and Distance - Aptitude Questions and Answers - RejinpaulPlacement




Find us on Facebook



Follow us on Google+


Google+

Quick Links

43.
Two men start together to walk to a certain destination, one at 3 kmph and another at 3.75 kmph. The latter arrives half an hour before the former. The distance is:
Answer & Solution
Answer: b) 7.5 km

Solution:   Let the distance be x km.

Then, x/3 - x/3.75 = 1/2
=> 2.5x - 2x = 3.75
=> x = 3.75/0.50 = 15/2 = 7.5 km
close
44.
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: [R.R.B. 2000]
Answer & Solution
Answer: b) 50 km

Solution:   Let the actual distance travelled be x km.

Then, x/10 = (x + 20) / 14
=> 14x = 10x + 200
=> 4x = 200
=> x = 50 km.
close
45.
In a flight of 600 km, an aircraft was slowed down due to bad whether. 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 : [M.A.T 2002]
Answer & Solution
Answer: d) 1 hour

Solution:   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]
close
46.
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 car is: [M.B.A 2001]
Answer & Solution
Answer: c) 3 : 4

Solution:   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 or 1/x + 4/y = 1/15 ......... (i)
And, (200/x) + (400/y) = 25/3 or 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
close
47.
A is twice as fast as B and B is thrice as fast as C is. The journey covered by C is 54 minutes will be covered by B in:
Answer & Solution
Answer: b) 18 min

Solution:   Let C's speed = x km/hr.
Then, B's speed = 3x km/hr and A's speed = 6x km/hr.

Ratio of times taken = 1/6 : 1/3 : 1 = 1 : 2 : 6

If C takes 6 min, then B takes 2 min.
If C takes 54 min, then B takes [(2/6) * 54] min = 18 min.
close
48.
Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction?
Answer & Solution
Answer: d) 17 hrs

Solution:   To be 0.5 km apart, they take 1 hour.
To be 8.5 km apart, they take [(1/0.5) * 8.5] hrs = 17 hrs.
close
49.
A walks at 4 kmph and 4 hours after his start, B cycles after him at 10 kmph. How far from the start does B catch up with A?
Answer & Solution
Answer: d) 26.7 km

Solution:   Suppose after x km from the start B catches up with A.

Then, the difference in the time taken by A to cover x km and that taken by B to cover x km is 4 hours.
x/4 - x/10 = 4
=> x = 26.7 km
close