Quiz Discussion

A ship, 40 kilometers from the shore, springs a leak which admits \(3\frac{3}{4}\) tonnes of water in 12 minutes. 60 tonnes would suffice to sink her, but the ship's pumps can throw out 12 tonnes of water in one hour. Find the average rate of sailing, so that she may reach the shore just as she begging to sink?

• 1]

  \(1\frac{1}{2}\) km/hr

• 2]

  \(2\frac{1}{2}\) km/hr

• 3]

  \(3\frac{1}{2}\) km/hr

• 4]

  \(4\frac{1}{2}\) km/hr

With an average speed of 50 km/hr, a train reaches its destination in time. If it goes with an average speed of 40 km/hr, it is late by 24 min. The total journey is :

• 1] 30 km
• 2] 40 km
• 3] 70 km
• 4] 80 km

Starting from his house one day,a student walks at a speed of 2.5 kmph and reaches his house 6 minutes late.Next day he increases his speed by 1kmph and reaches school 6 minutes early.How far is the school from his house.

• 1]

  7/4 km

• 2]

  3/2 km

• 3]

  4/5 km

• 4]

  1/2 km

A plan left 40 minutes late due to bad whether and order to reach its destination 1600 km away in time, it had increase its speed by 400 kmph from its usual speed. Find the usual speed of the plane?

• 1] 600 km/hour
• 2] 400 km/hour
• 3] 1000 km/hour
• 4] 800 km/hour

Between 5 am and 5 pm of a particular day for how many times are the minute and the hour hands together?

• 1] 11
• 2] 22
• 3] 33
• 4] 44

The speed \(3\frac{1}{3}\) m/sec when expressed in km/hr becomes :

• 1] 8 km/hr
• 2] 9 km/hr
• 3] 10 km/hr
• 4] 12 km/hr

An athlete runs 200 meters race in 24 seconds. His speed in km/h is

• 1] 20
• 2] 24
• 3] 28.5
• 4] 30

The speed of a motor-boat is that of the current of water as 36:5. The boat goes along with the current in 5 hours 10 minutes. It will come back in:

• 1] 5 hours 50 minutes
• 2] 6 hours
• 3] 6 hours 50 minutes
• 4] 12 hours 10 minutes

A boy stated from his house on bicycle at 10 am at a speed of 12 km per hour. His elder brother started after 1 hr 15 min on scooter along the same path and caught him at 1.30 pm. The speed of the scooter will be (in km/hr) ?

• 1]

  4.5 km/hr

• 2]

  36 km/hr

• 3]

  \(18\frac{2}{3}\) km/hr

• 4]

  9 km/hr

A man takes 50 minutes to cover a certain distance at a speed of 6 km/hr. If he walks with a speed of 10 km/hr, he covers the same distance in :

• 1] 10 min
• 2] 20 min
• 3] 30 min
• 4] 40 min