Quiz Discussion

A car travels from P to Q at a constant speed. If its speed were increased by 10 km/hr, it would have taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/hr. The distance between two cities is :

• 1] 540 km
• 2] 420 km
• 3] 600 km
• 4] 620 km

Amit starts from a point A and walks to another points B and then returns from B to A by his car and thus takes a total time of 6 hours and 45 min. If he had driven both ways in his car, he would have taken 2 hours less. How long would it take for him to walk both ways ?

• 1] 7 hrs 45 min
• 2] 8 hrs 15 min
• 3] 8 hrs 30 min
• 4] 8 hrs 45 min

A person X starts from Lucknow and another person Y starts from Kanpur to meet each other. Speed of X is 25 km/h, while Y is 35 km/h. If the distance between Lucknow and Kanpur be 120 km and both X and Y start their journey at the same time, when they will meet ?

• 1]

  1 hours later

• 2]

  2 hours later

• 3]

  \(\frac{1}{2}\) hours later

• 4]

  3 hours later

The length of a train and that of a platform are equal. If with a speed of 90 km/hr the train crosses the platform in one minute, then the length of the train (in meters) is ?

• 1] 500 meters
• 2] 600 meters
• 3] 750 meters
• 4] 900 meters

Two boats go downstream from point X to Y. The faster boat covers the distance from X to Y, 1.5 times as fast as slower boat. It is known that for every hour slower boat lags behinds the faster boat by 8 km. however, if they go upstream, then the faster boat covers the distance from Y to X in half the time as the slower boat. Find the speed of the faster boat in still water?

• 1] 12 kmph
• 2] 20 kmph
• 3] 24 kmph
• 4] 25 kmph
• 5] None of these

A passenger train 150 m long is travelling with a speed of 36 km/hr. If a man is cycling in the direction of train at 9 km/hr, the time taken by the train to pass the man is :

• 1] 10 seconds
• 2] 15 seconds
• 3] 18 seconds
• 4] 20 seconds

Train X leaves New York at 1 am and travels east at a constant speed of x mph. If train Z leaves New York at 2 am and travels east, at what constant rate of speed will train Z have to travel in order to catch train X at exactly 5.30 am ?

• 1]

  \(\frac{5}{6}x\)

• 2]

  \(\frac{9}{8}x\)

• 3]

  \(\frac{6}{5}x\)

• 4]

  \(\frac{9}{7}x\)

• 5]

  \(\frac{3}{2}x\)

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?

• 1]

  100 m

• 2]

  150 m

• 3]

  190 m

• 4]

  290 m

The speed of a bus is 72 kmph. The distance covered by the bus in 5 sec is :

• 1] 50 metres
• 2] 74.5 metres
• 3] 100 metres
• 4] 60 metres

The driver of an ambulance sees a school bus 40 m ahead of him after 20 seconds, the school bus is 60 meter behind. If the speed of the ambulance is 30 km/h, what is the speed of the school bus?

• 1] 10 kmph
• 2] 12 kmph
• 3] 15 kmph
• 4] 22 kmph