Quiz Discussion

Karan and Arjun run a 100 metre race, where Karan beats Arjun by 10 metre. To do a favour to Arjun, Karan starts 10 metre behind the starting line in a second 100 race. They both run at their earlier speeds. Which of the following is true in connection with the race?

• 1] Karan and Arjun reach the finishing line simultaneously
• 2] Arjun beats Karan by 1 metre
• 3] Arjun beats Karan by 11 metre
• 4] Karan beats Arjun by 1 metre
• 5] Cannot be said

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

Ravi and Ajay start simultaneously from a place A towards B 60 km apart. Ravi's speed is 4km/h less than that of Ajay. Ajay, after reaching B, turns back and meets Ravi at a places 12 km away from B. Ravi's speed is:

• 1] 12 km/h
• 2] 10 km/h
• 3] 8 km/h
• 4] 6 km/h

Two buses start from a bus terminal with a speed of 20 km/h at interval of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at interval of 8 minutes?

• 1] 3 km/h
• 2] 4 km/h
• 3] 5 km/h
• 4] 7 km/h

A person can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream?

• 1]

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

• 2]

  7 hours

• 3]

  \(\frac{{29}}{{4}}\) hours

• 4]

  \(\frac{{7}}{{2}}\) hours

Walking \({\frac{6}{7}}\) th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is :

• 1] 1 hour
• 2] 1 hr 12 min
• 3] 1 hr 15 min
• 4] 1 hr 20 min

A car traveled first 36 km at 6 km/h faster than the usual speed, but it returned the same distance at 6 km/h slower than usual speed. I the total time taken by car is 8 hours, for how many hours does it traveled at the faster speed ?

• 1] 4 hours
• 2] 3 hours
• 3] 2 hours
• 4] 1 hours

Two cyclists start from the same place in opposite directions. One goes towards north at 18 kmph and the other goes towards south at 20 kmph. What time will they take to be 47.5 km apart ?

• 1]

  \({ \text{1}}\frac{1}{4}{ \text{ hrs}}\)

• 2]

  \({ \text{2}}\frac{1}{4}{ \text{ hrs}}\)

• 3]

  2 hrs 23 min

• 4]

  \({ \text{2}}\frac{1}{2}{ \text{ hrs}}\)

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

• 1] 5 km/hr
• 2] 6 km/hr
• 3] 6.25 km/hr
• 4] 7.5 km/hr

From two places, 60 km apart, A and B start towards each other at the same time and meet each other after 6 hours. If A traveled with \(\frac{2}{3}\) of his speed and B traveled with double of his speed, they would have met after 5 hours. The speed of A is:

• 1] 4 km/h
• 2] 6 km/h
• 3] 10 km/h
• 4] 12 km/h