Quiz Discussion

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

• 1] 14 km
• 2] 15 km
• 3] 16 km
• 4] 17 km

Without stoppage, a train travels a certain distance with an average speed of 60 km/h, and with stoppage it covers the same distance with an average speed of 40 km/h. On an average, how many minutes per hour does train stop during the journey ?

• 1] 20 min/hour
• 2] 15 min/hour
• 3] 10 min/hour
• 4] 12 min/hour

The average speed of a bus is one-third of the speed of a train. The train covers 1125 km in 15 hours. How much distance will the bus cover in 36 minutes ?

• 1] 12 km
• 2] 18 km
• 3] 21 km
• 4] 75 km
• 5] None of these

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

A runs \(\frac{7}{4}\) times as fast as B. If A gives B a start of 300 m, how far must the winning post be if both A and B have to end the race at the same time?

• 1] 1400 m
• 2] 700 m
• 3] 350 m
• 4] 210 m

I started on my bicycle at 7 am to reach a certain place. After going a certain distance, my bicycle went out of order. Consequently, I rested for 35 minutes and came back to my house walking all the way. I reached my house at 1 pm. If my cycling speed is 10 kmph and my walking speed is 1 kmph, then on my bicycle I covered a distance of :

• 1]

  \(4\frac{61}{66}\) km

• 2]

  \(13\frac{4}{9}\) km

• 3]

  \(14\frac{3}{8}\) km

• 4]

  \(15\frac{10}{21}\) km

A is twice fast as B and B is thrice fast as C is. The journey covered by C in \(\frac{3}{2}\) hours will be covered by A is:

• 1] 15 minutes
• 2] 20 minutes
• 3] 30 minutes
• 4] 1 hour

A man on tour travels 160 km by car at 64 km/hr and another 160 km by bus at 80 km/hr. The average speed for the whole journey is :

• 1] 35.55 km/hr
• 2] 36 km/hr
• 3] 71.11 km/hr
• 4] 71 km/hr

Ravi walks to and fro to a shopping mall. He spends 30 minutes shopping. If he walks at a speed of 10 km an hour, he returns home at 19.00 hours. If he walks at 15 km an hour, her returns home at 18.30 hours. How far must he walk in order to return home at 18.15 hours ?

• 1] 17 km/hr
• 2] 17.5 km/hr
• 3] 18 km/hr
• 4] 19 km/hr
• 5] None of these

A man travels 600 km by train at 80 km/hr, 800 km by ship at 40 km/hr, 500 km by aeroplane at 400 km/hr and 100 km by car at 50 km/hr. What is the average speed for the entire distance :

• 1]

  \({ \text{60 km/hr}}\)

• 2]

  \(60\frac{5}{123}{ \text{ km/hr}}\)

• 3]

  \({ \text{62 km/hr}}\)

• 4]

  \(65\frac{5}{123}{ \text{ km/hr}}\)