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A motorcyclist left point A for point B. Two hours later, another motorcyclist left A for B and arrived at B at the same time as the first motorcyclist. Had both the motorcyclists started simultaneously from A and B travelling towards each other, they would have met in 80 minutes. How much time did it take the faster motorcyclist to travel from A to B?

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Important Questions on Time, Speed and Distance

EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 24
The difference between the times taken by two buses to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 kmph, find the slower speed.
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 25
One bad day, at 7 a.m. I started on my bike at the speed of 36 kmph to meet one of my relatives. After I had travelled some distance, my bike went out of order and I had to stop. After resting for 35 minutes, I returned home on foot at a speed of 14 kmph and reached home at 1 p.m. Find the distance from my house at which my bike broke down.
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 27

Three brothers, Ram, Shyam and Mohan, travelled by road. They all left the college at the same time-12 noon. The description of the motions of the three are detailed below:

Name Ram Shyam Mohan
Phase 1 Bus for 2 hours @10mph Bike for 1 hour @30mph oot for 3 hours @3.33mph
Phase 2 bike for 1.5 h @40mph foot for 3 h @3.33mph bus for 3 h @10mph
Phase 3 foot for 3h @3.33mph bus for 4 h @10mph bike for 2 h @30mph
At what distance from the start does Mohan overtake Shyam?
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 28

Three brothers, Ram, Shyam and Mohan, travelled by road. They all left the college at the same time-12 noon. The description of the motions of the three are detailed below:

Name Ram Shyam Mohan
Phase 1 Bus for 2 hours @10mph Bike for 1 hour @30mph oot for 3 hours @3.33mph
Phase 2 bike for 1.5 h @40mph foot for 3 h @3.33mph bus for 3 h @10mph
Phase 3 foot for 3h @3.33mph bus for 4 h @10mph bike for 2 h @30mph
If Ram travelled by bike instead of foot in the last of his journey (for the same distance as he had covered by foot), what is the difference in the times Of Ram and Mohan to cover 90 miles?
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 29

Three brothers, Ram, Shyam and Mohan, travelled by road. They all left the college at the same time-12 noon. The description of the motions of the three are detailed below:

Name Ram Shyam Mohan
Phase 1 Bus for 2 hours @10mph Bike for 1 hour @30mph oot for 3 hours @3.33mph
Phase 2 bike for 1.5 h @40mph foot for 3 h @3.33mph bus for 3 h @10mph
Phase 3 foot for 3h @3.33mph bus for 4 h @10mph bike for 2 h @30mph
If all of them travelled a distance of 100 miles, who reached first and at what time (assume the last leg time increases to cover 100 miles)?
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 30

Three brothers, Ram, Shyam and Mohan, travelled by road. They all left the college at the same time-12 noon. The description of the motions of the three are detailed below:

Name Ram Shyam Mohan
Phase 1 Bus for 2 hours @10mph Bike for 1 hour @30mph oot for 3 hours @3.33mph
Phase 2 bike for 1.5 h @40mph foot for 3 h @3.33mph bus for 3 h @10mph
Phase 3 foot for 3h @3.33mph bus for 4 h @10mph bike for 2 h @30mph

In the above question, who reached last and at what time?

EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 31
A motorcyclist rode the first half of his way at a constant speed. Then he was delayed for 5 minutes and, therefore, to make up for the lost time he increased his speed by 10 km/h. Find the initial speed of the motorcyclist if the total path covered by him is equal to 50 km.
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 32
Ram Singh and Priyadarshan start together from the same point on a circular path and walk around, each at his own pace, until both arrive together at the starting point. If Ram Singh performs the circuit in 3 minutes 44 seconds and Priyadarshan in 6 minutes 4 seconds, how many times does Ram Singh go around the path?