EASY
CAT
IMPORTANT
Earn 100

A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 Km away from A. What is the distance, in km, between A and B?
 

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Important Questions on Arithmetic

MEDIUM
CAT
IMPORTANT
Arup and Swarup leave point A at 8AM to point B. To reach B, they have to walk the first 2 km, then travel 4 km by boat and complete the final 20 km by car. Arup and Swarup walk at a constant speed of 4 km/hr and 5 km/hr respectively. Each rows his boat for 30 minutes. Arup drives his car at a constant speed of 50 km/hr while Swarup drives at 40 km/hr. If no time is wasted in transit, when will they meet again?
MEDIUM
CAT
IMPORTANT
Pradeep could either walk or drive to office. The time taken to walk to the office is 8 times the driving time. One day, his wife took the car making him walk to office. After walking 1 km, he reached a temple when his wife called to say that he can now take the car. Pradeep figures out that continuing to walk to the office will take as long as walking back home and then driving to the office. Calculate the distance between the temple and the office.
EASY
CAT
IMPORTANT
Each day on planet M is 10 h, each hour 60 min and each minute 40 s. The inhabitants of planet M use 10 h analog clock with an hour hand, a minute hand and a second hand. If one such clock shows 3 h 42 min and 20 s in a mirror, what will be the time in planet M exactly after 5 min?
HARD
CAT
IMPORTANT

Study the figure below and answer the question:

 Question Image  

Four persons walk from point A to point D following different routes. The one following ABCD takes 70 . minutes. Another person takes 45 minutes following ABD. The third person takes 30 minutes following route ACD. The last person takes 65 minutes following route ACBD. If all were to walk at the same speed, how long will it take to go from point B to point C?

HARD
CAT
IMPORTANT
Shruti and Krishna left Delhi for Noida at the same time. While Shruti was driving her car, Krishna, an environmentalist by profession, was traveling on his bicycle. Having reached Noida, Shruti turned back and met Krishna an hour after they started. Krishna continued his journey to Noida after the meeting, while Shruti turned back and also headed for Noida. Having reached Noida, Shruti again turned back and met Krishna 30 minutes after their first meeting. The time taken by Krishna to cover the distance between Delhi and Noida is:
MEDIUM
CAT
IMPORTANT
A chartered bus carrying office employees travels everyday in two shifts- morning and evening. In the evening, the bus travels at an average speed, which is 50% greater than the morning average speed; but takes 50% more time than the amount of time it takes in the morning. The average speed of the chartered bus for the entire journey is greater/less than its average speed in the morning by:
HARD
CAT
IMPORTANT
Rahim plans to drive from city A to station C, at the speed of 70 km per hour, to catch a train arriving there from B. He must reach C at least 15 minutes before the arrival of the train. The train leaves B, located 500 km south of A, at 8:00am and travels at a speed of 50 km per hour. It is known that C is located between west and northwest of B, with BC at 60° to AB. Also, C is located between south and south west of A with AC at 30° to AB. The latest time by which Rahim must leave A and still catch the train is closest to
MEDIUM
CAT
IMPORTANT
Arun, Barun and Kiranmala start from the same place and travel in the same direction at speeds of 30,40 and 60 km per hour respectively. Barun starts two hours after Arun. If Barun and Kiranmala overtake Arun at the same instant, how many hours after Arun did Kiranmala start?