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Earn 100

Two ports A and B are 300 km apart. Two ships leave A for B such that the second leaves 8 hours after the first. The ships arrive at B simultaneously. Find the time the slower ship spent on the trip if the speed of one of them is 10 km/h higher than that of the other.

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Important Questions on Time, Speed and Distance

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CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 19
An ant moved for several seconds and covered 3 mm in the first second and 4 mm more in each succes- sive second than in its predecessor. If the ant had covered 1 mm in the first second and 8 mm more in each successive second, then the difference between the path it would cover during the same time and the actual path would be more than 6 mm but less than 30 mm. Find the time for which the ant moved (in seconds).
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CAT
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How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 20
The Sabarmati Express left Ahmedabad for Mumbai. Having travelled 300 km, which constitutes 66.666 per cent of the distance between Ahmedabad and Mumbai, the train was stopped by a red signal. Half an hour later, the track was cleared and the engine- driver, having increased the speed by 15 km per hour, arrived at Mumbai on time. Find the initial speed of the Sabarmati Express.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 21
Two swimmers started simultaneously from the beach, one to the south and the other to the east. Two hours later, the distance between them turned out to be 100 km. Find the speed of the faster swimmer, knowing that the speed of one of them was 75% of the speed of the other.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 13 - Time, Speed and Distance>Level of Difficulty>Q 22

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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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.
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CAT
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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?
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CAT
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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)?