Quiz Discussion

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]

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

Two trains start from a certain place on two parallel tracks in the same direction. The speed of the trains are 45 km/hr and 40 km/hr respectively. The distance between the two trains after 45 minutes will be :

• 1] 2.500 km
• 2] 2.750 km
• 3] 3.750 km
• 4] 3.25 km

A thief steals a car at 2.30 pm and drives it at 60 kmph. The theft is discovered at 3 pm and the owner sets off in another car at 75 kmph. When will he overtake the thief ?

• 1]

  4.30 pm

• 2]

  4.45 pm

• 3]

  5 pm

• 4]

   5.15 pm

A train 350 m long is running at the speed of 36 km/h. If it crosses a tunnel in 1 minute, the length of the tunnel in metres:

• 1] 200 meters
• 2] 250 meters
• 3] 300 meters
• 4] 150 meters

When do the two hands of a clock of just after 3 pm make 30°angel between them?

• 1] 3:15:00
• 2] 3:10:54
• 3] 3:01:59
• 4] 3:5:20

A train leaves Delhi at 4.1 pm and reaches Aligargh at 7.25 pm. The average speed of the train is 40 km/hr. What is the distance from Delhi to Aligarh ?

• 1] 120 km
• 2] 130 km
• 3] 135 km
• 4] 140 km

Vinay and Versha run a race with their speed in the ratio of 5 : 3. They prefer to run on a circular track of circumference 1.5 km. What is the distance covered by Vinay when he passes Versha for the seventh time?

• 1] 25.25 km
• 2] 26.25 km
• 3] 13.2 km
• 4] 14.5 km

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

The ratio of speeds of A and B is 2 : 3 and therefore A takes 20 minutes more time than B. What is the ratio of time taken by A and B?

• 1] 2 : 3
• 2] 2 : 5
• 3] 3 : 2
• 4] 3 : 5

Two horses started simultaneously towards each other and meet each other 3 hr 20 mins later. How much time will it take the slower horse to cover the whole distance if the first arrived at the place of departure of the second 5 hours later than the second arrived at the point of departure of the first?

• 1] 10 hours
• 2] 5 hours
• 3] 15 hours
• 4] 6 hours
• 5] None of these