Quiz Discussion

A student goes to school at the rate of \(2\frac{1}{2}\) km/hr and reaches 6 min late. If he travels at the speed of 3 km/hr he is 10 min early. What is the distance to the school?

• 1]

  4 km

• 2]

  \(3\frac{1}{4}\) km

• 3]

  1 km

• 4]

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

P and Q are 27 km away. Two trains with speed of 24 km/hr and 18 km/hr respectively start simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Distance QR is :

• 1] 126 km
• 2] 81 km
• 3] 48 km
• 4] 36 km

The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for one hour on reaching the destination. The total time taken for the complete to and fro journey is 17 hours, covering a distance of 800 km. The speed of the train in the onward journey is :

• 1] 45 km/hr
• 2] 47.5 km/hr
• 3] 52 km/hr
• 4] 56.25 km/hr

Ramesh travels 760 km to his home, partly by train and partly by car. He takes 8 hours, if he travels 160 km by train and the rest by car. He takes 12 minutes more, if he travels 240 km by train and the rest by car. What are the spends of the car and the train respectively ?

• 1] 90 km/hr, 60 km/hr
• 2] 100 km/hr, 80 km/hr
• 3] 80 km/hr, 70 km/hr
• 4] 100 km/hr, 90 km/hr

Two trains started at the same time, one from A to B and other from B to A. if they arrived at B and A respectively in 4 hours and 9 hours after they passed each other, the ratio of the speeds of the two trains was:

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

A man travels the distance of his journey \(\frac{3}{4}\) by bus, \(\frac{1}{6} \)by rickshaw, and remaining 2 km on foot. The total distance traveled by the man is :

• 1] 12 km
• 2] 18 km
• 3] 20 km
• 4] 24 km

An express train travelled at an average speed of 100 kmph, stopping for 3 min after 75 km. A local train travelled at a speed of 50 kmph, stopping for 1 min after every 25 km. If the trains began travelling at the same time, how many kilometres did the local train travel in the time it took the express train to travel 600 km ?

• 1] 287.5 km
• 2] 307.5 km
• 3] 325 km
• 4] 396 km

A man completes a certain journey by a car. If he covered 30% of the distance at the speed of 20kmph. 60% of the distance at 40km/h and the remaining of the distance at 10 kmph, his average speed is:

• 1] 25 km/h
• 2] 28 km/h
• 3] 30 km/h
• 4] 33 km/h

A gun is fired from a fort. A man hears the sound 10 seconds later. If the sound travels at the rate of 330 m/sec, find the distance between the fort and the man.

• 1] 330 km
• 2] 33 km
• 3] 3.3 km
• 4] 0.33 km

If a man runs at 6 kmph from his house, he misses the train at the station by 8 min. If he runs at 10 kmph, he reaches 7 min before the departure of the train. What is the distance of the station from his house? (in Km).

• 1]

  \(4\frac{3}{4}\) km

• 2]

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

• 3]

  \(4\frac{1}{4}\) km

• 4]

  \(3\frac{3}{4}\) km

• 5]

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