Quiz Discussion

A is 10 miles west of B. C is 30 miles north of B. D is 20 miles east of C. What is the distance from A to D ?

• 1]

  10 miles

• 2]

  30 miles

• 3]

  \(10\sqrt {10}  \) miles

• 4]

  \(10\sqrt {13}  \) miles

• 5]

  \(30\sqrt {2}  \) miles

A boy is running at a speed of p kmph to cover a distance of 1 km. But, due to the slippery ground, his speed is reduced by q kmph (p > q). If he takes r hours to cover the distance, then:

• 1]

  \(\frac{1}{r} = p - q\)

• 2]

  r = p - q

• 3]

  \(\frac{1}{r} = p + q\)

• 4]

  r = p + r

An aeroplane flies twice as fast as a train which covers 60 miles in 80 minutes. What distance will the aeroplane cover in 20 minutes ?

• 1] 30 miles
• 2] 35 miles
• 3] 40 miles
• 4] 50 miles

A distance of 425 km separates two trains moving towards each other at a speed of 200 km/hr each. What will be the distance between them after 1 hr 30 min, if they reduce their speed by half, every half an hour ?

• 1] 75 km
• 2] 120 km
• 3] 150 km
• 4] 200 km

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

• 1] 100 m
• 2] 190 m
• 3] 200 m
• 4] 150 m

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 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

A train covers a distance of \(193\frac{1}{3}\) km in \(4\frac{1}{4}\) hours with one stoppage of 10 minutes, two of 5 minutes, and one of 3 minutes on the way. The average speed of the train is :

• 1] 48 km/hr
• 2] 50 km/hr
• 3] 55 km/hr
• 4] 60 km/hr

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 railway passenger counts the telegraph poles on the rail road as he passes them. The telegraph poles are at a distance of 50 metres. What will be his count in 4 hours, if the speed of the train is 45 km per hour.

• 1] 600
• 2] 2500
• 3] 3600
• 4] 5000