Quiz Discussion

A cyclist drove one kilometre, with the wind in his back, in 3 minutes and drove the same way back, against the wind, in 4 minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive 1 km without wind ?

• 1]

  \(2\frac{1}{3}\) min

• 2]

  \(2\frac{3}{7}\) min

• 3]

  \(3\frac{3}{7}\) min

• 4]

  \(3\frac{7}{12}\) min

One of the two buses completes a journey of 300 km in 7½ hours an the other a journey of 450 km in 9 hours.  The ratio of their average speeds is:

• 1]

  2:3

• 2]

  3:4

• 3]

  4:5

• 4]

  8:9

A dog after traveling 50 km meets a swami who counsels him to go slower. He then proceeds at \(\frac{3}{4} \)of his former speed and arrives at his destination 35 min late. Had the meeting occurred 24 km further the dog would have reached its destination 25 min late. The speed of the dog is:

• 1] 48 kmph
• 2] 36 kmph
• 3] 54 kmph
• 4] 58 kmph

A train running at \(\frac{7}{11}\) of its own speed reached a place in 22 hours. How much time could be saved if the train would have run at its own speed?

• 1] 7 hr
• 2] 8 hr
• 3] 14 hr
• 4] 16 hr

Page and Plant are running on a track AB of length 10 metres. They start running simultaneously from the ends A and B respectively. The moment they reach either of the ends, they turn around and continue running. Page and Plant run with constant speeds of 2m/s and 5m/s respectively. How far from A (in metres) are they, when they meet for the 23rd time?

• 1]

  0 meters

• 2]

  10 meters

• 3]

  40 meters

• 4]

  \(\frac{{60}}{7}\) meters

• 5]

  None of these

A man goes to the fair with his son and dog. Unfortunately man misses his son which he realizes 20 minutes later. The son comes back towards his home at the speed of 20 m/min and man follows him at 40 m/min. The dog runs to son and comes back to the man to show him the direction of his son. He keeps moving to and fro at 60 m/min between son and father, till the man meets the son. What is the distance traveled by the dog in the direction of the son?

• 1] 800 m
• 2] 1675 m
• 3] 848 m
• 4] 1000 m
• 5] None of these

A car after traveling 18 km from a point A developed some problem in the engine and the speed became \(\frac{4}{5}\) th of its original speed. As a result, the car reached point B 45 minutes late. If the engine had developed the same problem after traveling 30 km from A, then it would have reached 36 minutes late. The original speed of the car (in km/h) is:

• 1] 25 kmph
• 2] 30 kmph
• 3] 20 kmph
• 4] 35 kmph
• 5] None of these

A coolie standing on a railway platform observe that a train going in one direction takes 4 second to pass him. Another train of same length going in opposite direction takes 5 seconds to pass him. The time taken (in seconds) by two train to cross each other will be:

• 1]

  35 seconds

• 2]

  36.5 seconds

• 3]

  \(\frac{{40}}{9}\) seconds

• 4]

  36 seconds

Amit travelled black to home in a car, after visiting his friend in a distant village. When he stated at his friend's house the car had exactly 18 litres of petrol in it. He travelled along at a steady 40 kilometres per hour and managed a 10 kilometres per litre of petrol. As the car was old, the fuel tank lost fuel at the rate of half a litre per hour. Amit was lucky as his car stopped just in front of his home because it had rum out of fuel and he only just made it. How far was it from his friend's home to Amit's home ?

• 1] 150 km
• 2] 170 km
• 3] 180 km
• 4] None of these

A man walking at the rate of 5 km/hr crosses a bridge in 15 min. The length of the bridge (in metres) is :

• 1] 600 metres
• 2] 750 metres
• 3] 1000 metres
• 4] 1250 metres